\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  12.0 & +  6.00 x_{1} & -7.00 x_{2} & + 10.00 x_{3} & +  1.00 x_{4} & -7.00 x_{5} & +  2.00 x_{6} & + 10.00 x_{7} & -10.00 x_{8} &   & -4.00 x_{10} & -7.00 x_{11} & -1.00 x_{12} & -2.00 x_{13} & -5.00 x_{14} & +  1.00 x_{15}\\
 x_{17}   &  60.0 & +  1.00 x_{1} &    &   & -6.00 x_{4} & -9.00 x_{5} & +  1.00 x_{6} & -5.00 x_{7} & -5.00 x_{8} & +  1.00 x_{9} &   & -1.00 x_{11} & +  7.00 x_{12} & +  5.00 x_{13} & -4.00 x_{14} & -5.00 x_{15}\\
 x_{18}   &  36.0 & -9.00 x_{1} & -8.00 x_{2} & -10.00 x_{3} & +  8.00 x_{4} & -2.00 x_{5} & +  5.00 x_{6} & -6.00 x_{7} &   & -5.00 x_{9} & -1.00 x_{10} & +  8.00 x_{11} & -8.00 x_{12} & -2.00 x_{13} & -4.00 x_{14} & -7.00 x_{15}\\
 x_{19}   &  1.0  &   & -9.00 x_{2} & -8.00 x_{3} & +  1.00 x_{4} & +  9.00 x_{5} & +  1.00 x_{6} &   & -2.00 x_{8} & -7.00 x_{9} &   & +  1.00 x_{11} &   & -2.00 x_{13} & -6.00 x_{14} & +  5.00 x_{15}\\
 x_{20}   &  39.0 & -7.00 x_{1} & -2.00 x_{2} &    &   & +  5.00 x_{5} &   & +  1.00 x_{7} & +  6.00 x_{8} & -5.00 x_{9} & -5.00 x_{10} & -10.00 x_{11} & -2.00 x_{12} & +  3.00 x_{13} & -9.00 x_{14} & -3.00 x_{15}\\
 x_{21}   &  -17.0 & +  6.00 x_{1} & +  4.00 x_{2} & + 10.00 x_{3} & +  4.00 x_{4} & +  5.00 x_{5} & -3.00 x_{6} & + 10.00 x_{7} & -4.00 x_{8} & +  2.00 x_{9} & -9.00 x_{10} & -7.00 x_{11} & -6.00 x_{12} & -10.00 x_{13} & -10.00 x_{14} & +  6.00 x_{15}\\
 x_{22}   &  -54.0 & -4.00 x_{1} & -4.00 x_{2} &   & +  4.00 x_{4} & +  9.00 x_{5} & +  4.00 x_{6} & +  1.00 x_{7} &   & + 10.00 x_{9} & +  8.00 x_{10} & -1.00 x_{11} & +  7.00 x_{12} & +  1.00 x_{13} & +  1.00 x_{14} & +  3.00 x_{15}\\
 x_{23}   &  1.0 & -2.00 x_{1} & -6.00 x_{2} & -1.00 x_{3} & +  8.00 x_{4} & +  2.00 x_{5} & -10.00 x_{6} & +  5.00 x_{7} & -4.00 x_{8} & +  3.00 x_{9} & -2.00 x_{10} & +  2.00 x_{11} & +  4.00 x_{12} &   & -1.00 x_{14} & -8.00 x_{15}\\
 x_{24}   &  40.0  &   & -8.00 x_{2} & -2.00 x_{3} & -2.00 x_{4} & -7.00 x_{5} & -7.00 x_{6} & +  9.00 x_{7} & -8.00 x_{8} & +  2.00 x_{9} & -2.00 x_{10} & -2.00 x_{11} & +  5.00 x_{12} & -2.00 x_{13} & +  2.00 x_{14} & -6.00 x_{15}\\
 x_{25}   &  34.0 & -4.00 x_{1} & +  6.00 x_{2} & -5.00 x_{3} & -6.00 x_{4} & +  1.00 x_{5} &   & +  1.00 x_{7} &   & -4.00 x_{9} & +  9.00 x_{10} & -2.00 x_{11} & -9.00 x_{12} & -8.00 x_{13} & +  1.00 x_{14} & -4.00 x_{15}\\
 x_{26}   &  6.0 & -7.00 x_{1} & +  1.00 x_{2} & +  4.00 x_{3} & -1.00 x_{4} & + 10.00 x_{5} & +  8.00 x_{6} & -9.00 x_{7} & -5.00 x_{8} & -2.00 x_{9} & +  7.00 x_{10} & +  1.00 x_{11} & -4.00 x_{12} & +  7.00 x_{13} & -1.00 x_{14} & -6.00 x_{15}\\
 x_{27}   &  -45.0 & +  3.00 x_{1} & -6.00 x_{2} & -3.00 x_{3} & + 10.00 x_{4} & +  6.00 x_{5} & -4.00 x_{6} & +  1.00 x_{7} & -7.00 x_{8} & +  9.00 x_{9} & -9.00 x_{10} & +  9.00 x_{11} & -8.00 x_{12} & -5.00 x_{13} & -9.00 x_{14} & +  4.00 x_{15}\\
 x_{28}   &  1.0 & -6.00 x_{1} & +  1.00 x_{2} & +  9.00 x_{3} & +  5.00 x_{4} & -1.00 x_{5} & -6.00 x_{6} & -1.00 x_{7} &   & -1.00 x_{9} & +  9.00 x_{10} & -7.00 x_{11} & -2.00 x_{12} & +  7.00 x_{13} & -10.00 x_{14} & -3.00 x_{15}\\
 x_{29}   &  14.0 & +  6.00 x_{1} & -10.00 x_{2} & +  8.00 x_{3} & -8.00 x_{4} & -1.00 x_{5} & -8.00 x_{6} & -9.00 x_{7} & +  7.00 x_{8} & +  8.00 x_{9} & +  7.00 x_{10} & -1.00 x_{11} & -3.00 x_{12} & +  4.00 x_{13} &   & -10.00 x_{15}\\
 x_{30}   &  73.0 & +  7.00 x_{1} & -8.00 x_{2} & -4.00 x_{3} & -8.00 x_{4} & -6.00 x_{5} & -8.00 x_{6} & -3.00 x_{7} & -8.00 x_{8} & +  4.00 x_{9} &   & -8.00 x_{11} & +  4.00 x_{12} & -7.00 x_{13} & +  7.00 x_{14} & -8.00 x_{15}\\
 x_{31}   &  5.0  &   & -4.00 x_{2} & +  5.00 x_{3} & -7.00 x_{4} & +  4.00 x_{5} & + 10.00 x_{6} & -8.00 x_{7} & -3.00 x_{8} & -3.00 x_{9} & +  1.00 x_{10} & +  9.00 x_{11} & -1.00 x_{12} & -2.00 x_{13} & -2.00 x_{14} & -2.00 x_{15}\\
 x_{32}   &  1.0 & -5.00 x_{1} & +  4.00 x_{2} & +  3.00 x_{3} &   & +  7.00 x_{5} & -5.00 x_{6} & +  5.00 x_{7} & -8.00 x_{8} & -7.00 x_{9} & +  1.00 x_{10} & +  2.00 x_{11} & +  4.00 x_{12} & +  3.00 x_{13} & +  3.00 x_{14} & -1.00 x_{15}\\
\hline
z    &  0.0 & -1.00 x_{1} &   & -5.00 x_{3} & -1.00 x_{4} & -2.00 x_{5} & -1.00 x_{6} & -5.00 x_{7} & -3.00 x_{8} & +  5.00 x_{9} & +  3.00 x_{10} & -3.00 x_{11} & +  4.00 x_{12} & -5.00 x_{13} & +  2.00 x_{14} &   \\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{15}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,32$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & -6.00 y_{16} & -1.00 y_{17} & +  9.00 y_{18} &   & +  7.00 y_{20} & -6.00 y_{21} & +  4.00 y_{22} & +  2.00 y_{23} &   & +  4.00 y_{25} & +  7.00 y_{26} & -3.00 y_{27} & +  6.00 y_{28} & -6.00 y_{29} & -7.00 y_{30} &   & +  5.00 y_{32}\\
 y_{2}   &  1.0 & +  7.00 y_{16} &   & +  8.00 y_{18} & +  9.00 y_{19} & +  2.00 y_{20} & -4.00 y_{21} & +  4.00 y_{22} & +  6.00 y_{23} & +  8.00 y_{24} & -6.00 y_{25} & -1.00 y_{26} & +  6.00 y_{27} & -1.00 y_{28} & + 10.00 y_{29} & +  8.00 y_{30} & +  4.00 y_{31} & -4.00 y_{32}\\
 y_{3}   &  1.0 & -10.00 y_{16} &   & + 10.00 y_{18} & +  8.00 y_{19} &   & -10.00 y_{21} &   & +  1.00 y_{23} & +  2.00 y_{24} & +  5.00 y_{25} & -4.00 y_{26} & +  3.00 y_{27} & -9.00 y_{28} & -8.00 y_{29} & +  4.00 y_{30} & -5.00 y_{31} & -3.00 y_{32}\\
 y_{4}   &  1.0 & -1.00 y_{16} & +  6.00 y_{17} & -8.00 y_{18} & -1.00 y_{19} &   & -4.00 y_{21} & -4.00 y_{22} & -8.00 y_{23} & +  2.00 y_{24} & +  6.00 y_{25} & +  1.00 y_{26} & -10.00 y_{27} & -5.00 y_{28} & +  8.00 y_{29} & +  8.00 y_{30} & +  7.00 y_{31} &   \\
 y_{5}   &  1.0 & +  7.00 y_{16} & +  9.00 y_{17} & +  2.00 y_{18} & -9.00 y_{19} & -5.00 y_{20} & -5.00 y_{21} & -9.00 y_{22} & -2.00 y_{23} & +  7.00 y_{24} & -1.00 y_{25} & -10.00 y_{26} & -6.00 y_{27} & +  1.00 y_{28} & +  1.00 y_{29} & +  6.00 y_{30} & -4.00 y_{31} & -7.00 y_{32}\\
 y_{6}   &  1.0 & -2.00 y_{16} & -1.00 y_{17} & -5.00 y_{18} & -1.00 y_{19} &   & +  3.00 y_{21} & -4.00 y_{22} & + 10.00 y_{23} & +  7.00 y_{24} &   & -8.00 y_{26} & +  4.00 y_{27} & +  6.00 y_{28} & +  8.00 y_{29} & +  8.00 y_{30} & -10.00 y_{31} & +  5.00 y_{32}\\
 y_{7}   &  1.0 & -10.00 y_{16} & +  5.00 y_{17} & +  6.00 y_{18} &   & -1.00 y_{20} & -10.00 y_{21} & -1.00 y_{22} & -5.00 y_{23} & -9.00 y_{24} & -1.00 y_{25} & +  9.00 y_{26} & -1.00 y_{27} & +  1.00 y_{28} & +  9.00 y_{29} & +  3.00 y_{30} & +  8.00 y_{31} & -5.00 y_{32}\\
 y_{8}   &  1.0 & + 10.00 y_{16} & +  5.00 y_{17} &   & +  2.00 y_{19} & -6.00 y_{20} & +  4.00 y_{21} &   & +  4.00 y_{23} & +  8.00 y_{24} &   & +  5.00 y_{26} & +  7.00 y_{27} &   & -7.00 y_{29} & +  8.00 y_{30} & +  3.00 y_{31} & +  8.00 y_{32}\\
 y_{9}   &  1.0  &   & -1.00 y_{17} & +  5.00 y_{18} & +  7.00 y_{19} & +  5.00 y_{20} & -2.00 y_{21} & -10.00 y_{22} & -3.00 y_{23} & -2.00 y_{24} & +  4.00 y_{25} & +  2.00 y_{26} & -9.00 y_{27} & +  1.00 y_{28} & -8.00 y_{29} & -4.00 y_{30} & +  3.00 y_{31} & +  7.00 y_{32}\\
 y_{10}   &  1.0 & +  4.00 y_{16} &   & +  1.00 y_{18} &   & +  5.00 y_{20} & +  9.00 y_{21} & -8.00 y_{22} & +  2.00 y_{23} & +  2.00 y_{24} & -9.00 y_{25} & -7.00 y_{26} & +  9.00 y_{27} & -9.00 y_{28} & -7.00 y_{29} &   & -1.00 y_{31} & -1.00 y_{32}\\
 y_{11}   &  1.0 & +  7.00 y_{16} & +  1.00 y_{17} & -8.00 y_{18} & -1.00 y_{19} & + 10.00 y_{20} & +  7.00 y_{21} & +  1.00 y_{22} & -2.00 y_{23} & +  2.00 y_{24} & +  2.00 y_{25} & -1.00 y_{26} & -9.00 y_{27} & +  7.00 y_{28} & +  1.00 y_{29} & +  8.00 y_{30} & -9.00 y_{31} & -2.00 y_{32}\\
 y_{12}   &  1.0 & +  1.00 y_{16} & -7.00 y_{17} & +  8.00 y_{18} &   & +  2.00 y_{20} & +  6.00 y_{21} & -7.00 y_{22} & -4.00 y_{23} & -5.00 y_{24} & +  9.00 y_{25} & +  4.00 y_{26} & +  8.00 y_{27} & +  2.00 y_{28} & +  3.00 y_{29} & -4.00 y_{30} & +  1.00 y_{31} & -4.00 y_{32}\\
 y_{13}   &  1.0 & +  2.00 y_{16} & -5.00 y_{17} & +  2.00 y_{18} & +  2.00 y_{19} & -3.00 y_{20} & + 10.00 y_{21} & -1.00 y_{22} &   & +  2.00 y_{24} & +  8.00 y_{25} & -7.00 y_{26} & +  5.00 y_{27} & -7.00 y_{28} & -4.00 y_{29} & +  7.00 y_{30} & +  2.00 y_{31} & -3.00 y_{32}\\
 y_{14}   &  1.0 & +  5.00 y_{16} & +  4.00 y_{17} & +  4.00 y_{18} & +  6.00 y_{19} & +  9.00 y_{20} & + 10.00 y_{21} & -1.00 y_{22} & +  1.00 y_{23} & -2.00 y_{24} & -1.00 y_{25} & +  1.00 y_{26} & +  9.00 y_{27} & + 10.00 y_{28} &   & -7.00 y_{30} & +  2.00 y_{31} & -3.00 y_{32}\\
 y_{15}   &  1.0 & -1.00 y_{16} & +  5.00 y_{17} & +  7.00 y_{18} & -5.00 y_{19} & +  3.00 y_{20} & -6.00 y_{21} & -3.00 y_{22} & +  8.00 y_{23} & +  6.00 y_{24} & +  4.00 y_{25} & +  6.00 y_{26} & -4.00 y_{27} & +  3.00 y_{28} & + 10.00 y_{29} & +  8.00 y_{30} & +  2.00 y_{31} & +  1.00 y_{32}\\
\hline
z    &  -0 & -12.00 y_{16} & -60.00 y_{17} & -36.00 y_{18} & -1.00 y_{19} & -39.00 y_{20} & + 17.00 y_{21} & + 54.00 y_{22} & -1.00 y_{23} & -40.00 y_{24} & -34.00 y_{25} & -6.00 y_{26} & + 45.00 y_{27} & -1.00 y_{28} & -14.00 y_{29} & -73.00 y_{30} & -5.00 y_{31} & -1.00 y_{32}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 13 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.36939672942 & +  0.83 y_{7} & +  0.29 y_{17} & + 16.32 y_{18} & +  0.12 y_{9} & +  3.10 y_{20} & -0.83 y_{5} & -8.63 y_{21} & +  8.52 y_{23} & + 14.52 y_{24} & +  5.66 y_{25} & -12.74 y_{26} & +  0.35 y_{4} & -1.15 y_{19} & -21.29 y_{29} & -3.47 y_{30} & -0.85 y_{3} & -17.02 y_{31}\\
 y_{2}   &  1.8632403463 & -0.57 y_{7} & +  0.31 y_{17} & + 10.77 y_{18} & -0.58 y_{9} & +  6.04 y_{20} & +  0.35 y_{5} & -8.59 y_{21} & +  0.45 y_{23} & -0.56 y_{24} & -3.41 y_{25} & +  9.43 y_{26} & -0.19 y_{4} & + 14.92 y_{19} & + 12.73 y_{29} & +  6.35 y_{30} & +  0.13 y_{3} & + 13.65 y_{31}\\
 y_{10}   &  0.369657826027 & -1.37 y_{7} & +  6.90 y_{17} & -24.45 y_{18} & +  0.61 y_{9} & +  5.42 y_{20} & +  0.97 y_{5} & + 13.74 y_{21} & -13.72 y_{23} & -16.68 y_{24} & -12.58 y_{25} & + 22.21 y_{26} & -1.36 y_{4} & -11.16 y_{19} & + 34.31 y_{29} & +  4.50 y_{30} & +  1.78 y_{3} & + 30.37 y_{31}\\
 y_{27}   &  0.034148687646 & -0.04 y_{7} & +  0.68 y_{17} & -1.56 y_{18} & +  0.03 y_{9} & -0.05 y_{20} & +  0.03 y_{5} & +  0.01 y_{21} & -1.05 y_{23} & -0.36 y_{24} & +  0.24 y_{25} & +  0.91 y_{26} & -0.12 y_{4} & -0.61 y_{19} & +  1.99 y_{29} & +  0.73 y_{30} & +  0.07 y_{3} & +  1.46 y_{31}\\
 y_{32}   &  0.0476570015116 & -0.04 y_{7} & +  0.86 y_{17} & -0.11 y_{18} & +  0.06 y_{9} & -0.62 y_{20} & -0.06 y_{5} & -0.59 y_{21} & -0.27 y_{23} & +  0.15 y_{24} & -0.27 y_{25} & -0.26 y_{26} & -0.02 y_{4} & -0.97 y_{19} & +  1.07 y_{29} & +  0.80 y_{30} & +  0.00 y_{3} & +  0.06 y_{31}\\
 y_{6}   &  1.02253675965 & +  0.20 y_{7} & +  6.06 y_{17} & -20.68 y_{18} & +  0.87 y_{9} & -4.29 y_{20} & -0.03 y_{5} & +  2.91 y_{21} & +  4.21 y_{23} & + 12.90 y_{24} & +  3.18 y_{25} & -10.34 y_{26} & -1.16 y_{4} & -9.24 y_{19} & + 23.15 y_{29} & + 19.93 y_{30} & +  0.09 y_{3} & -5.79 y_{31}\\
 y_{22}   &  0.106005221932 & +  0.01 y_{7} & -0.12 y_{17} & +  1.82 y_{18} & -0.08 y_{9} & +  0.11 y_{20} & -0.06 y_{5} & -0.64 y_{21} & +  0.48 y_{23} & +  0.33 y_{24} & +  0.06 y_{25} & -0.91 y_{26} & +  0.09 y_{4} & +  0.61 y_{19} & -1.93 y_{29} & -0.45 y_{30} & -0.06 y_{3} & -1.05 y_{31}\\
 y_{8}   &  2.27564930603 & -1.28 y_{7} & + 16.71 y_{17} & -5.56 y_{18} & +  0.44 y_{9} & -9.27 y_{20} & +  0.04 y_{5} & -7.24 y_{21} & -8.39 y_{23} & -1.98 y_{24} & +  0.26 y_{25} & + 18.52 y_{26} & -0.87 y_{4} & -4.75 y_{19} & + 18.17 y_{29} & + 18.76 y_{30} & +  0.40 y_{3} & + 20.19 y_{31}\\
 y_{16}   &  0.0655352480418 & -0.07 y_{7} & +  0.01 y_{17} & +  0.62 y_{18} & -0.02 y_{9} & +  0.20 y_{20} & +  0.03 y_{5} & -0.66 y_{21} & -0.29 y_{23} & -0.87 y_{24} & +  0.07 y_{25} & +  0.92 y_{26} & +  0.01 y_{4} & +  0.53 y_{19} & +  0.27 y_{29} & -0.08 y_{30} & -0.01 y_{3} & +  0.65 y_{31}\\
 y_{28}   &  0.0337913975539 & +  0.08 y_{7} & -0.07 y_{17} & -0.06 y_{18} & +  0.01 y_{9} & -0.03 y_{20} & -0.01 y_{5} & -0.18 y_{21} & +  0.18 y_{23} & +  1.02 y_{24} & +  0.65 y_{25} & -1.08 y_{26} & -0.04 y_{4} & +  0.42 y_{19} & -0.88 y_{29} & +  0.51 y_{30} & -0.08 y_{3} & -0.81 y_{31}\\
 y_{11}   &  1.39863954926 & +  0.49 y_{7} & -7.38 y_{17} & + 11.98 y_{18} & -0.51 y_{9} & + 12.94 y_{20} & -0.02 y_{5} & +  1.58 y_{21} & +  7.62 y_{23} & +  6.27 y_{24} & +  5.42 y_{25} & -10.69 y_{26} & +  0.93 y_{4} & + 13.69 y_{19} & -25.24 y_{29} & +  2.37 y_{30} & -1.30 y_{3} & -24.45 y_{31}\\
 y_{12}   &  0.473642984746 & -0.13 y_{7} & -4.25 y_{17} & -16.30 y_{18} & +  0.55 y_{9} & +  3.48 y_{20} & +  0.87 y_{5} & + 11.89 y_{21} & -14.59 y_{23} & -9.60 y_{24} & + 12.99 y_{25} & + 17.53 y_{26} & -1.57 y_{4} & -3.95 y_{19} & + 26.64 y_{29} & +  2.74 y_{30} & +  0.80 y_{3} & + 18.83 y_{31}\\
 y_{13}   &  0.816297924969 & -0.76 y_{7} & -3.54 y_{17} & -5.61 y_{18} & -0.11 y_{9} & -0.87 y_{20} & +  0.47 y_{5} & + 12.37 y_{21} & -6.73 y_{23} & -9.47 y_{24} & +  5.55 y_{25} & +  8.68 y_{26} & -0.33 y_{4} & -0.68 y_{19} & + 11.40 y_{29} & +  5.00 y_{30} & +  0.92 y_{3} & + 17.13 y_{31}\\
 y_{14}   &  1.7239521781 & +  0.22 y_{7} & +  7.05 y_{17} & -9.06 y_{18} & +  0.18 y_{9} & + 11.00 y_{20} & +  0.54 y_{5} & +  7.42 y_{21} & -7.83 y_{23} & -0.14 y_{24} & +  8.79 y_{25} & +  4.76 y_{26} & -1.46 y_{4} & +  9.66 y_{19} & +  9.13 y_{29} & +  2.34 y_{30} & -0.19 y_{3} & + 11.16 y_{31}\\
 y_{15}   &  0.628885529751 & +  0.37 y_{7} & +  3.28 y_{17} & +  6.85 y_{18} & +  0.26 y_{9} & +  1.96 y_{20} & -0.02 y_{5} & -4.58 y_{21} & + 11.32 y_{23} & + 10.52 y_{24} & +  4.46 y_{25} & +  0.67 y_{26} & +  0.05 y_{4} & -4.62 y_{19} & +  5.98 y_{29} & +  8.82 y_{30} & -0.29 y_{3} & -3.70 y_{31}\\
\hline
z    &  6.39310155284 & -0.22 y_{7} & -36.75 y_{17} & -15.08 y_{18} & -2.95 y_{9} & -37.07 y_{20} & -2.52 y_{5} & -8.33 y_{21} & -18.92 y_{23} & -28.89 y_{24} & -21.04 y_{25} & -24.07 y_{26} & -0.40 y_{4} & -1.03 y_{19} & -32.25 y_{29} & -64.61 y_{30} & -0.30 y_{3} & -3.12 y_{31}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.224323210114 & -0.83 x_{1} & +  0.57 x_{2} & +  1.37 x_{10} & +  0.04 x_{27} & +  0.04 x_{32} & -0.20 x_{6} & -0.01 x_{22} & +  1.28 x_{8} & +  0.07 x_{16} & -0.08 x_{28} & -0.49 x_{11} & +  0.13 x_{12} & +  0.76 x_{13} & -0.22 x_{14} & -0.37 x_{15}\\
 x_{17}   &  36.7535797719 & -0.29 x_{1} & -0.31 x_{2} & -6.90 x_{10} & -0.68 x_{27} & -0.86 x_{32} & -6.06 x_{6} & +  0.12 x_{22} & -16.71 x_{8} & -0.01 x_{16} & +  0.07 x_{28} & +  7.38 x_{11} & +  4.25 x_{12} & +  3.54 x_{13} & -7.05 x_{14} & -3.28 x_{15}\\
 x_{18}   &  15.0811873025 & -16.32 x_{1} & -10.77 x_{2} & + 24.45 x_{10} & +  1.56 x_{27} & +  0.11 x_{32} & + 20.68 x_{6} & -1.82 x_{22} & +  5.56 x_{8} & -0.62 x_{16} & +  0.06 x_{28} & -11.98 x_{11} & + 16.30 x_{12} & +  5.61 x_{13} & +  9.06 x_{14} & -6.85 x_{15}\\
 x_{9}   &  2.95019925794 & -0.12 x_{1} & +  0.58 x_{2} & -0.61 x_{10} & -0.03 x_{27} & -0.06 x_{32} & -0.87 x_{6} & +  0.08 x_{22} & -0.44 x_{8} & +  0.02 x_{16} & -0.01 x_{28} & +  0.51 x_{11} & -0.55 x_{12} & +  0.11 x_{13} & -0.18 x_{14} & -0.26 x_{15}\\
 x_{20}   &  37.068352343 & -3.10 x_{1} & -6.04 x_{2} & -5.42 x_{10} & +  0.05 x_{27} & +  0.62 x_{32} & +  4.29 x_{6} & -0.11 x_{22} & +  9.27 x_{8} & -0.20 x_{16} & +  0.03 x_{28} & -12.94 x_{11} & -3.48 x_{12} & +  0.87 x_{13} & -11.00 x_{14} & -1.96 x_{15}\\
 x_{5}   &  2.51900508451 & +  0.83 x_{1} & -0.35 x_{2} & -0.97 x_{10} & -0.03 x_{27} & +  0.06 x_{32} & +  0.03 x_{6} & +  0.06 x_{22} & -0.04 x_{8} & -0.03 x_{16} & +  0.01 x_{28} & +  0.02 x_{11} & -0.87 x_{12} & -0.47 x_{13} & -0.54 x_{14} & +  0.02 x_{15}\\
 x_{21}   &  8.33043836746 & +  8.63 x_{1} & +  8.59 x_{2} & -13.74 x_{10} & -0.01 x_{27} & +  0.59 x_{32} & -2.91 x_{6} & +  0.64 x_{22} & +  7.24 x_{8} & +  0.66 x_{16} & +  0.18 x_{28} & -1.58 x_{11} & -11.89 x_{12} & -12.37 x_{13} & -7.42 x_{14} & +  4.58 x_{15}\\
 x_{23}   &  18.9165865054 & -8.52 x_{1} & -0.45 x_{2} & + 13.72 x_{10} & +  1.05 x_{27} & +  0.27 x_{32} & -4.21 x_{6} & -0.48 x_{22} & +  8.39 x_{8} & +  0.29 x_{16} & -0.18 x_{28} & -7.62 x_{11} & + 14.59 x_{12} & +  6.73 x_{13} & +  7.83 x_{14} & -11.32 x_{15}\\
 x_{24}   &  28.8871238148 & -14.52 x_{1} & +  0.56 x_{2} & + 16.68 x_{10} & +  0.36 x_{27} & -0.15 x_{32} & -12.90 x_{6} & -0.33 x_{22} & +  1.98 x_{8} & +  0.87 x_{16} & -1.02 x_{28} & -6.27 x_{11} & +  9.60 x_{12} & +  9.47 x_{13} & +  0.14 x_{14} & -10.52 x_{15}\\
 x_{25}   &  21.044001649 & -5.66 x_{1} & +  3.41 x_{2} & + 12.58 x_{10} & -0.24 x_{27} & +  0.27 x_{32} & -3.18 x_{6} & -0.06 x_{22} & -0.26 x_{8} & -0.07 x_{16} & -0.65 x_{28} & -5.42 x_{11} & -12.99 x_{12} & -5.55 x_{13} & -8.79 x_{14} & -4.46 x_{15}\\
 x_{26}   &  24.0657413769 & + 12.74 x_{1} & -9.43 x_{2} & -22.21 x_{10} & -0.91 x_{27} & +  0.26 x_{32} & + 10.34 x_{6} & +  0.91 x_{22} & -18.52 x_{8} & -0.92 x_{16} & +  1.08 x_{28} & + 10.69 x_{11} & -17.53 x_{12} & -8.68 x_{13} & -4.76 x_{14} & -0.67 x_{15}\\
 x_{4}   &  0.400659612478 & -0.35 x_{1} & +  0.19 x_{2} & +  1.36 x_{10} & +  0.12 x_{27} & +  0.02 x_{32} & +  1.16 x_{6} & -0.09 x_{22} & +  0.87 x_{8} & -0.01 x_{16} & +  0.04 x_{28} & -0.93 x_{11} & +  1.57 x_{12} & +  0.33 x_{13} & +  1.46 x_{14} & -0.05 x_{15}\\
 x_{19}   &  1.02899546516 & +  1.15 x_{1} & -14.92 x_{2} & + 11.16 x_{10} & +  0.61 x_{27} & +  0.97 x_{32} & +  9.24 x_{6} & -0.61 x_{22} & +  4.75 x_{8} & -0.53 x_{16} & -0.42 x_{28} & -13.69 x_{11} & +  3.95 x_{12} & +  0.68 x_{13} & -9.66 x_{14} & +  4.62 x_{15}\\
 x_{29}   &  32.2497182905 & + 21.29 x_{1} & -12.73 x_{2} & -34.31 x_{10} & -1.99 x_{27} & -1.07 x_{32} & -23.15 x_{6} & +  1.93 x_{22} & -18.17 x_{8} & -0.27 x_{16} & +  0.88 x_{28} & + 25.24 x_{11} & -26.64 x_{12} & -11.40 x_{13} & -9.13 x_{14} & -5.98 x_{15}\\
 x_{30}   &  64.6128624433 & +  3.47 x_{1} & -6.35 x_{2} & -4.50 x_{10} & -0.73 x_{27} & -0.80 x_{32} & -19.93 x_{6} & +  0.45 x_{22} & -18.76 x_{8} & +  0.08 x_{16} & -0.51 x_{28} & -2.37 x_{11} & -2.74 x_{12} & -5.00 x_{13} & -2.34 x_{14} & -8.82 x_{15}\\
 x_{3}   &  0.298914387797 & +  0.85 x_{1} & -0.13 x_{2} & -1.78 x_{10} & -0.07 x_{27} & -0.00 x_{32} & -0.09 x_{6} & +  0.06 x_{22} & -0.40 x_{8} & +  0.01 x_{16} & +  0.08 x_{28} & +  1.30 x_{11} & -0.80 x_{12} & -0.92 x_{13} & +  0.19 x_{14} & +  0.29 x_{15}\\
 x_{31}   &  3.12079153497 & + 17.02 x_{1} & -13.65 x_{2} & -30.37 x_{10} & -1.46 x_{27} & -0.06 x_{32} & +  5.79 x_{6} & +  1.05 x_{22} & -20.19 x_{8} & -0.65 x_{16} & +  0.81 x_{28} & + 24.45 x_{11} & -18.83 x_{12} & -17.13 x_{13} & -11.16 x_{14} & +  3.70 x_{15}\\
\hline
z    &  -6.39310155284 & -1.37 x_{1} & -1.86 x_{2} & -0.37 x_{10} & -0.03 x_{27} & -0.05 x_{32} & -1.02 x_{6} & -0.11 x_{22} & -2.28 x_{8} & -0.07 x_{16} & -0.03 x_{28} & -1.40 x_{11} & -0.47 x_{12} & -0.82 x_{13} & -1.72 x_{14} & -0.63 x_{15}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.224323210114 & -0.83 x_{1} & +  0.57 x_{2} & +  1.37 x_{10} & +  0.04 x_{27} & +  0.04 x_{32} & -0.20 x_{6} & -0.01 x_{22} & +  1.28 x_{8} & +  0.07 x_{16} & -0.08 x_{28} & -0.49 x_{11} & +  0.13 x_{12} & +  0.76 x_{13} & -0.22 x_{14} & -0.37 x_{15}\\
 x_{17}   &  36.7535797719 & -0.29 x_{1} & -0.31 x_{2} & -6.90 x_{10} & -0.68 x_{27} & -0.86 x_{32} & -6.06 x_{6} & +  0.12 x_{22} & -16.71 x_{8} & -0.01 x_{16} & +  0.07 x_{28} & +  7.38 x_{11} & +  4.25 x_{12} & +  3.54 x_{13} & -7.05 x_{14} & -3.28 x_{15}\\
 x_{18}   &  15.0811873025 & -16.32 x_{1} & -10.77 x_{2} & + 24.45 x_{10} & +  1.56 x_{27} & +  0.11 x_{32} & + 20.68 x_{6} & -1.82 x_{22} & +  5.56 x_{8} & -0.62 x_{16} & +  0.06 x_{28} & -11.98 x_{11} & + 16.30 x_{12} & +  5.61 x_{13} & +  9.06 x_{14} & -6.85 x_{15}\\
 x_{9}   &  2.95019925794 & -0.12 x_{1} & +  0.58 x_{2} & -0.61 x_{10} & -0.03 x_{27} & -0.06 x_{32} & -0.87 x_{6} & +  0.08 x_{22} & -0.44 x_{8} & +  0.02 x_{16} & -0.01 x_{28} & +  0.51 x_{11} & -0.55 x_{12} & +  0.11 x_{13} & -0.18 x_{14} & -0.26 x_{15}\\
 x_{20}   &  37.068352343 & -3.10 x_{1} & -6.04 x_{2} & -5.42 x_{10} & +  0.05 x_{27} & +  0.62 x_{32} & +  4.29 x_{6} & -0.11 x_{22} & +  9.27 x_{8} & -0.20 x_{16} & +  0.03 x_{28} & -12.94 x_{11} & -3.48 x_{12} & +  0.87 x_{13} & -11.00 x_{14} & -1.96 x_{15}\\
 x_{5}   &  2.51900508451 & +  0.83 x_{1} & -0.35 x_{2} & -0.97 x_{10} & -0.03 x_{27} & +  0.06 x_{32} & +  0.03 x_{6} & +  0.06 x_{22} & -0.04 x_{8} & -0.03 x_{16} & +  0.01 x_{28} & +  0.02 x_{11} & -0.87 x_{12} & -0.47 x_{13} & -0.54 x_{14} & +  0.02 x_{15}\\
 x_{21}   &  8.33043836746 & +  8.63 x_{1} & +  8.59 x_{2} & -13.74 x_{10} & -0.01 x_{27} & +  0.59 x_{32} & -2.91 x_{6} & +  0.64 x_{22} & +  7.24 x_{8} & +  0.66 x_{16} & +  0.18 x_{28} & -1.58 x_{11} & -11.89 x_{12} & -12.37 x_{13} & -7.42 x_{14} & +  4.58 x_{15}\\
 x_{23}   &  18.9165865054 & -8.52 x_{1} & -0.45 x_{2} & + 13.72 x_{10} & +  1.05 x_{27} & +  0.27 x_{32} & -4.21 x_{6} & -0.48 x_{22} & +  8.39 x_{8} & +  0.29 x_{16} & -0.18 x_{28} & -7.62 x_{11} & + 14.59 x_{12} & +  6.73 x_{13} & +  7.83 x_{14} & -11.32 x_{15}\\
 x_{24}   &  28.8871238148 & -14.52 x_{1} & +  0.56 x_{2} & + 16.68 x_{10} & +  0.36 x_{27} & -0.15 x_{32} & -12.90 x_{6} & -0.33 x_{22} & +  1.98 x_{8} & +  0.87 x_{16} & -1.02 x_{28} & -6.27 x_{11} & +  9.60 x_{12} & +  9.47 x_{13} & +  0.14 x_{14} & -10.52 x_{15}\\
 x_{25}   &  21.044001649 & -5.66 x_{1} & +  3.41 x_{2} & + 12.58 x_{10} & -0.24 x_{27} & +  0.27 x_{32} & -3.18 x_{6} & -0.06 x_{22} & -0.26 x_{8} & -0.07 x_{16} & -0.65 x_{28} & -5.42 x_{11} & -12.99 x_{12} & -5.55 x_{13} & -8.79 x_{14} & -4.46 x_{15}\\
 x_{26}   &  24.0657413769 & + 12.74 x_{1} & -9.43 x_{2} & -22.21 x_{10} & -0.91 x_{27} & +  0.26 x_{32} & + 10.34 x_{6} & +  0.91 x_{22} & -18.52 x_{8} & -0.92 x_{16} & +  1.08 x_{28} & + 10.69 x_{11} & -17.53 x_{12} & -8.68 x_{13} & -4.76 x_{14} & -0.67 x_{15}\\
 x_{4}   &  0.400659612478 & -0.35 x_{1} & +  0.19 x_{2} & +  1.36 x_{10} & +  0.12 x_{27} & +  0.02 x_{32} & +  1.16 x_{6} & -0.09 x_{22} & +  0.87 x_{8} & -0.01 x_{16} & +  0.04 x_{28} & -0.93 x_{11} & +  1.57 x_{12} & +  0.33 x_{13} & +  1.46 x_{14} & -0.05 x_{15}\\
 x_{19}   &  1.02899546516 & +  1.15 x_{1} & -14.92 x_{2} & + 11.16 x_{10} & +  0.61 x_{27} & +  0.97 x_{32} & +  9.24 x_{6} & -0.61 x_{22} & +  4.75 x_{8} & -0.53 x_{16} & -0.42 x_{28} & -13.69 x_{11} & +  3.95 x_{12} & +  0.68 x_{13} & -9.66 x_{14} & +  4.62 x_{15}\\
 x_{29}   &  32.2497182905 & + 21.29 x_{1} & -12.73 x_{2} & -34.31 x_{10} & -1.99 x_{27} & -1.07 x_{32} & -23.15 x_{6} & +  1.93 x_{22} & -18.17 x_{8} & -0.27 x_{16} & +  0.88 x_{28} & + 25.24 x_{11} & -26.64 x_{12} & -11.40 x_{13} & -9.13 x_{14} & -5.98 x_{15}\\
 x_{30}   &  64.6128624433 & +  3.47 x_{1} & -6.35 x_{2} & -4.50 x_{10} & -0.73 x_{27} & -0.80 x_{32} & -19.93 x_{6} & +  0.45 x_{22} & -18.76 x_{8} & +  0.08 x_{16} & -0.51 x_{28} & -2.37 x_{11} & -2.74 x_{12} & -5.00 x_{13} & -2.34 x_{14} & -8.82 x_{15}\\
 x_{3}   &  0.298914387797 & +  0.85 x_{1} & -0.13 x_{2} & -1.78 x_{10} & -0.07 x_{27} & -0.00 x_{32} & -0.09 x_{6} & +  0.06 x_{22} & -0.40 x_{8} & +  0.01 x_{16} & +  0.08 x_{28} & +  1.30 x_{11} & -0.80 x_{12} & -0.92 x_{13} & +  0.19 x_{14} & +  0.29 x_{15}\\
 x_{31}   &  3.12079153497 & + 17.02 x_{1} & -13.65 x_{2} & -30.37 x_{10} & -1.46 x_{27} & -0.06 x_{32} & +  5.79 x_{6} & +  1.05 x_{22} & -20.19 x_{8} & -0.65 x_{16} & +  0.81 x_{28} & + 24.45 x_{11} & -18.83 x_{12} & -17.13 x_{13} & -11.16 x_{14} & +  3.70 x_{15}\\
\hline
z    &  6.69613851862 & -2.97 x_{1} & +  1.19 x_{2} & +  2.59 x_{10} & -0.06 x_{27} & -0.61 x_{32} & -5.09 x_{6} & +  0.11 x_{22} & -10.41 x_{8} & -0.21 x_{16} & -0.13 x_{28} & -3.60 x_{11} & +  4.75 x_{12} & -3.05 x_{13} & +  0.82 x_{14} & -0.90 x_{15}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.224323210114 & -0.83 x_{1} & +  0.57 x_{2} & +  1.37 x_{10} & +  0.04 x_{27} & +  0.04 x_{32} & -0.20 x_{6} & -0.01 x_{22} & +  1.28 x_{8} & +  0.07 x_{16} & -0.08 x_{28} & -0.49 x_{11} & +  0.13 x_{12} & +  0.76 x_{13} & -0.22 x_{14} & -0.37 x_{15}\\
 x_{17}   &  36.7535797719 & -0.29 x_{1} & -0.31 x_{2} & -6.90 x_{10} & -0.68 x_{27} & -0.86 x_{32} & -6.06 x_{6} & +  0.12 x_{22} & -16.71 x_{8} & -0.01 x_{16} & +  0.07 x_{28} & +  7.38 x_{11} & +  4.25 x_{12} & +  3.54 x_{13} & -7.05 x_{14} & -3.28 x_{15}\\
 x_{18}   &  15.0811873025 & -16.32 x_{1} & -10.77 x_{2} & + 24.45 x_{10} & +  1.56 x_{27} & +  0.11 x_{32} & + 20.68 x_{6} & -1.82 x_{22} & +  5.56 x_{8} & -0.62 x_{16} & +  0.06 x_{28} & -11.98 x_{11} & + 16.30 x_{12} & +  5.61 x_{13} & +  9.06 x_{14} & -6.85 x_{15}\\
 x_{9}   &  2.95019925794 & -0.12 x_{1} & +  0.58 x_{2} & -0.61 x_{10} & -0.03 x_{27} & -0.06 x_{32} & -0.87 x_{6} & +  0.08 x_{22} & -0.44 x_{8} & +  0.02 x_{16} & -0.01 x_{28} & +  0.51 x_{11} & -0.55 x_{12} & +  0.11 x_{13} & -0.18 x_{14} & -0.26 x_{15}\\
 x_{20}   &  37.068352343 & -3.10 x_{1} & -6.04 x_{2} & -5.42 x_{10} & +  0.05 x_{27} & +  0.62 x_{32} & +  4.29 x_{6} & -0.11 x_{22} & +  9.27 x_{8} & -0.20 x_{16} & +  0.03 x_{28} & -12.94 x_{11} & -3.48 x_{12} & +  0.87 x_{13} & -11.00 x_{14} & -1.96 x_{15}\\
 x_{5}   &  2.51900508451 & +  0.83 x_{1} & -0.35 x_{2} & -0.97 x_{10} & -0.03 x_{27} & +  0.06 x_{32} & +  0.03 x_{6} & +  0.06 x_{22} & -0.04 x_{8} & -0.03 x_{16} & +  0.01 x_{28} & +  0.02 x_{11} & -0.87 x_{12} & -0.47 x_{13} & -0.54 x_{14} & +  0.02 x_{15}\\
 x_{21}   &  8.33043836746 & +  8.63 x_{1} & +  8.59 x_{2} & -13.74 x_{10} & -0.01 x_{27} & +  0.59 x_{32} & -2.91 x_{6} & +  0.64 x_{22} & +  7.24 x_{8} & +  0.66 x_{16} & +  0.18 x_{28} & -1.58 x_{11} & -11.89 x_{12} & -12.37 x_{13} & -7.42 x_{14} & +  4.58 x_{15}\\
 x_{23}   &  18.9165865054 & -8.52 x_{1} & -0.45 x_{2} & + 13.72 x_{10} & +  1.05 x_{27} & +  0.27 x_{32} & -4.21 x_{6} & -0.48 x_{22} & +  8.39 x_{8} & +  0.29 x_{16} & -0.18 x_{28} & -7.62 x_{11} & + 14.59 x_{12} & +  6.73 x_{13} & +  7.83 x_{14} & -11.32 x_{15}\\
 x_{24}   &  28.8871238148 & -14.52 x_{1} & +  0.56 x_{2} & + 16.68 x_{10} & +  0.36 x_{27} & -0.15 x_{32} & -12.90 x_{6} & -0.33 x_{22} & +  1.98 x_{8} & +  0.87 x_{16} & -1.02 x_{28} & -6.27 x_{11} & +  9.60 x_{12} & +  9.47 x_{13} & +  0.14 x_{14} & -10.52 x_{15}\\
 x_{25}   &  21.044001649 & -5.66 x_{1} & +  3.41 x_{2} & + 12.58 x_{10} & -0.24 x_{27} & +  0.27 x_{32} & -3.18 x_{6} & -0.06 x_{22} & -0.26 x_{8} & -0.07 x_{16} & -0.65 x_{28} & -5.42 x_{11} & -12.99 x_{12} & -5.55 x_{13} & -8.79 x_{14} & -4.46 x_{15}\\
 x_{26}   &  24.0657413769 & + 12.74 x_{1} & -9.43 x_{2} & -22.21 x_{10} & -0.91 x_{27} & +  0.26 x_{32} & + 10.34 x_{6} & +  0.91 x_{22} & -18.52 x_{8} & -0.92 x_{16} & +  1.08 x_{28} & + 10.69 x_{11} & -17.53 x_{12} & -8.68 x_{13} & -4.76 x_{14} & -0.67 x_{15}\\
 x_{4}   &  0.400659612478 & -0.35 x_{1} & +  0.19 x_{2} & +  1.36 x_{10} & +  0.12 x_{27} & +  0.02 x_{32} & +  1.16 x_{6} & -0.09 x_{22} & +  0.87 x_{8} & -0.01 x_{16} & +  0.04 x_{28} & -0.93 x_{11} & +  1.57 x_{12} & +  0.33 x_{13} & +  1.46 x_{14} & -0.05 x_{15}\\
 x_{19}   &  1.02899546516 & +  1.15 x_{1} & -14.92 x_{2} & + 11.16 x_{10} & +  0.61 x_{27} & +  0.97 x_{32} & +  9.24 x_{6} & -0.61 x_{22} & +  4.75 x_{8} & -0.53 x_{16} & -0.42 x_{28} & -13.69 x_{11} & +  3.95 x_{12} & +  0.68 x_{13} & -9.66 x_{14} & +  4.62 x_{15}\\
 x_{29}   &  32.2497182905 & + 21.29 x_{1} & -12.73 x_{2} & -34.31 x_{10} & -1.99 x_{27} & -1.07 x_{32} & -23.15 x_{6} & +  1.93 x_{22} & -18.17 x_{8} & -0.27 x_{16} & +  0.88 x_{28} & + 25.24 x_{11} & -26.64 x_{12} & -11.40 x_{13} & -9.13 x_{14} & -5.98 x_{15}\\
 x_{30}   &  64.6128624433 & +  3.47 x_{1} & -6.35 x_{2} & -4.50 x_{10} & -0.73 x_{27} & -0.80 x_{32} & -19.93 x_{6} & +  0.45 x_{22} & -18.76 x_{8} & +  0.08 x_{16} & -0.51 x_{28} & -2.37 x_{11} & -2.74 x_{12} & -5.00 x_{13} & -2.34 x_{14} & -8.82 x_{15}\\
 x_{3}   &  0.298914387797 & +  0.85 x_{1} & -0.13 x_{2} & -1.78 x_{10} & -0.07 x_{27} & -0.00 x_{32} & -0.09 x_{6} & +  0.06 x_{22} & -0.40 x_{8} & +  0.01 x_{16} & +  0.08 x_{28} & +  1.30 x_{11} & -0.80 x_{12} & -0.92 x_{13} & +  0.19 x_{14} & +  0.29 x_{15}\\
 x_{31}   &  3.12079153497 & + 17.02 x_{1} & -13.65 x_{2} & -30.37 x_{10} & -1.46 x_{27} & -0.06 x_{32} & +  5.79 x_{6} & +  1.05 x_{22} & -20.19 x_{8} & -0.65 x_{16} & +  0.81 x_{28} & + 24.45 x_{11} & -18.83 x_{12} & -17.13 x_{13} & -11.16 x_{14} & +  3.70 x_{15}\\
\hline
z    &  6.69613851862 & -2.97 x_{1} & +  1.19 x_{2} & +  2.59 x_{10} & -0.06 x_{27} & -0.61 x_{32} & -5.09 x_{6} & +  0.11 x_{22} & -10.41 x_{8} & -0.21 x_{16} & -0.13 x_{28} & -3.60 x_{11} & +  4.75 x_{12} & -3.05 x_{13} & +  0.82 x_{14} & -0.90 x_{15}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.263516538175 & -0.79 x_{1} & -0.04 x_{19} & +  1.79 x_{10} & +  0.06 x_{27} & +  0.08 x_{32} & +  0.15 x_{6} & -0.04 x_{22} & +  1.46 x_{8} & +  0.05 x_{16} & -0.09 x_{28} & -1.01 x_{11} & +  0.28 x_{12} & +  0.78 x_{13} & -0.58 x_{14} & -0.20 x_{15}\\
 x_{17}   &  36.7320401227 & -0.31 x_{1} & +  0.02 x_{19} & -7.13 x_{10} & -0.69 x_{27} & -0.88 x_{32} & -6.26 x_{6} & +  0.13 x_{22} & -16.81 x_{8} & +  0.00 x_{16} & +  0.08 x_{28} & +  7.67 x_{11} & +  4.17 x_{12} & +  3.53 x_{13} & -6.85 x_{14} & -3.38 x_{15}\\
 x_{18}   &  14.3381082649 & -17.15 x_{1} & +  0.72 x_{19} & + 16.39 x_{10} & +  1.12 x_{27} & -0.59 x_{32} & + 14.01 x_{6} & -1.38 x_{22} & +  2.13 x_{8} & -0.24 x_{16} & +  0.37 x_{28} & -2.09 x_{11} & + 13.45 x_{12} & +  5.12 x_{13} & + 16.03 x_{14} & -10.19 x_{15}\\
 x_{9}   &  2.98998590732 & -0.08 x_{1} & -0.04 x_{19} & -0.18 x_{10} & -0.00 x_{27} & -0.02 x_{32} & -0.51 x_{6} & +  0.06 x_{22} & -0.26 x_{8} & +  0.00 x_{16} & -0.03 x_{28} & -0.02 x_{11} & -0.40 x_{12} & +  0.14 x_{13} & -0.55 x_{14} & -0.08 x_{15}\\
 x_{20}   &  36.6516455276 & -3.57 x_{1} & +  0.40 x_{19} & -9.93 x_{10} & -0.20 x_{27} & +  0.23 x_{32} & +  0.55 x_{6} & +  0.14 x_{22} & +  7.35 x_{8} & +  0.01 x_{16} & +  0.20 x_{28} & -7.40 x_{11} & -5.07 x_{12} & +  0.60 x_{13} & -7.09 x_{14} & -3.83 x_{15}\\
 x_{5}   &  2.49520019896 & +  0.80 x_{1} & +  0.02 x_{19} & -1.22 x_{10} & -0.04 x_{27} & +  0.03 x_{32} & -0.18 x_{6} & +  0.08 x_{22} & -0.15 x_{8} & -0.02 x_{16} & +  0.02 x_{28} & +  0.33 x_{11} & -0.97 x_{12} & -0.48 x_{13} & -0.31 x_{14} & -0.08 x_{15}\\
 x_{21}   &  8.92283843157 & +  9.29 x_{1} & -0.58 x_{19} & -7.32 x_{10} & +  0.34 x_{27} & +  1.14 x_{32} & +  2.41 x_{6} & +  0.28 x_{22} & +  9.98 x_{8} & +  0.36 x_{16} & -0.07 x_{28} & -9.46 x_{11} & -9.62 x_{12} & -11.98 x_{13} & -12.98 x_{14} & +  7.25 x_{15}\\
 x_{23}   &  18.8855176987 & -8.56 x_{1} & +  0.03 x_{19} & + 13.38 x_{10} & +  1.03 x_{27} & +  0.24 x_{32} & -4.49 x_{6} & -0.46 x_{22} & +  8.24 x_{8} & +  0.31 x_{16} & -0.16 x_{28} & -7.21 x_{11} & + 14.47 x_{12} & +  6.71 x_{13} & +  8.12 x_{14} & -11.46 x_{15}\\
 x_{24}   &  28.9255740695 & -14.48 x_{1} & -0.04 x_{19} & + 17.10 x_{10} & +  0.38 x_{27} & -0.12 x_{32} & -12.56 x_{6} & -0.35 x_{22} & +  2.16 x_{8} & +  0.85 x_{16} & -1.04 x_{28} & -6.78 x_{11} & +  9.75 x_{12} & +  9.49 x_{13} & -0.22 x_{14} & -10.35 x_{15}\\
 x_{25}   &  21.278985327 & -5.40 x_{1} & -0.23 x_{19} & + 15.13 x_{10} & -0.11 x_{27} & +  0.49 x_{32} & -1.07 x_{6} & -0.20 x_{22} & +  0.82 x_{8} & -0.19 x_{16} & -0.75 x_{28} & -8.54 x_{11} & -12.08 x_{12} & -5.39 x_{13} & -10.99 x_{14} & -3.41 x_{15}\\
 x_{26}   &  23.4154687889 & + 12.01 x_{1} & +  0.63 x_{19} & -29.26 x_{10} & -1.30 x_{27} & -0.35 x_{32} & +  4.49 x_{6} & +  1.30 x_{22} & -21.53 x_{8} & -0.59 x_{16} & +  1.35 x_{28} & + 19.34 x_{11} & -20.03 x_{12} & -9.11 x_{13} & +  1.35 x_{14} & -3.59 x_{15}\\
 x_{4}   &  0.41392688386 & -0.34 x_{1} & -0.01 x_{19} & +  1.50 x_{10} & +  0.12 x_{27} & +  0.03 x_{32} & +  1.28 x_{6} & -0.10 x_{22} & +  0.94 x_{8} & -0.01 x_{16} & +  0.04 x_{28} & -1.10 x_{11} & +  1.62 x_{12} & +  0.34 x_{13} & +  1.34 x_{14} & +  0.01 x_{15}\\
 x_{2}   &  0.068971234353 & +  0.08 x_{1} & -0.07 x_{19} & +  0.75 x_{10} & +  0.04 x_{27} & +  0.06 x_{32} & +  0.62 x_{6} & -0.04 x_{22} & +  0.32 x_{8} & -0.04 x_{16} & -0.03 x_{28} & -0.92 x_{11} & +  0.26 x_{12} & +  0.05 x_{13} & -0.65 x_{14} & +  0.31 x_{15}\\
 x_{29}   &  31.3719970157 & + 20.31 x_{1} & +  0.85 x_{19} & -43.83 x_{10} & -2.51 x_{27} & -1.89 x_{32} & -31.04 x_{6} & +  2.45 x_{22} & -22.22 x_{8} & +  0.18 x_{16} & +  1.25 x_{28} & + 36.91 x_{11} & -30.01 x_{12} & -11.98 x_{13} & -0.89 x_{14} & -9.93 x_{15}\\
 x_{30}   &  64.1749647683 & +  2.98 x_{1} & +  0.43 x_{19} & -9.25 x_{10} & -0.99 x_{27} & -1.21 x_{32} & -23.87 x_{6} & +  0.71 x_{22} & -20.78 x_{8} & +  0.30 x_{16} & -0.33 x_{28} & +  3.46 x_{11} & -4.42 x_{12} & -5.29 x_{13} & +  1.77 x_{14} & -10.78 x_{15}\\
 x_{3}   &  0.290010776755 & +  0.84 x_{1} & +  0.01 x_{19} & -1.88 x_{10} & -0.07 x_{27} & -0.01 x_{32} & -0.17 x_{6} & +  0.07 x_{22} & -0.44 x_{8} & +  0.01 x_{16} & +  0.08 x_{28} & +  1.41 x_{11} & -0.83 x_{12} & -0.92 x_{13} & +  0.28 x_{14} & +  0.25 x_{15}\\
 x_{31}   &  2.17939152781 & + 15.96 x_{1} & +  0.91 x_{19} & -40.58 x_{10} & -2.02 x_{27} & -0.95 x_{32} & -2.67 x_{6} & +  1.61 x_{22} & -24.54 x_{8} & -0.17 x_{16} & +  1.20 x_{28} & + 36.97 x_{11} & -22.44 x_{12} & -17.75 x_{13} & -2.33 x_{14} & -0.53 x_{15}\\
\hline
z    &  6.77796568018 & -2.88 x_{1} & -0.08 x_{19} & +  3.47 x_{10} & -0.01 x_{27} & -0.53 x_{32} & -4.35 x_{6} & +  0.06 x_{22} & -10.03 x_{8} & -0.26 x_{16} & -0.17 x_{28} & -4.69 x_{11} & +  5.07 x_{12} & -2.99 x_{13} & +  0.05 x_{14} & -0.54 x_{15}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{31} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.359707374275 & -0.08 x_{1} & +  0.00 x_{19} & -0.04 x_{31} & -0.03 x_{27} & +  0.04 x_{32} & +  0.03 x_{6} & +  0.04 x_{22} & +  0.38 x_{8} & +  0.04 x_{16} & -0.04 x_{28} & +  0.62 x_{11} & -0.71 x_{12} & -0.00 x_{13} & -0.69 x_{14} & -0.22 x_{15}\\
 x_{17}   &  36.3491770157 & -3.12 x_{1} & -0.14 x_{19} & +  0.18 x_{31} & -0.34 x_{27} & -0.71 x_{32} & -5.79 x_{6} & -0.15 x_{22} & -12.50 x_{8} & +  0.03 x_{16} & -0.13 x_{28} & +  1.17 x_{11} & +  8.11 x_{12} & +  6.65 x_{13} & -6.44 x_{14} & -3.28 x_{15}\\
 x_{18}   &  15.2182574428 & -10.71 x_{1} & +  1.09 x_{19} & -0.40 x_{31} & +  0.30 x_{27} & -0.97 x_{32} & + 12.93 x_{6} & -0.73 x_{22} & -7.78 x_{8} & -0.31 x_{16} & +  0.85 x_{28} & + 12.84 x_{11} & +  4.39 x_{12} & -2.05 x_{13} & + 15.09 x_{14} & -10.41 x_{15}\\
 x_{9}   &  2.98038320814 & -0.15 x_{1} & -0.04 x_{19} & +  0.00 x_{31} & +  0.01 x_{27} & -0.02 x_{32} & -0.50 x_{6} & +  0.05 x_{22} & -0.15 x_{8} & +  0.00 x_{16} & -0.04 x_{28} & -0.19 x_{11} & -0.30 x_{12} & +  0.22 x_{13} & -0.54 x_{14} & -0.08 x_{15}\\
 x_{20}   &  36.1180643883 & -7.48 x_{1} & +  0.18 x_{19} & +  0.24 x_{31} & +  0.29 x_{27} & +  0.46 x_{32} & +  1.20 x_{6} & -0.25 x_{22} & + 13.36 x_{8} & +  0.05 x_{16} & -0.09 x_{28} & -16.45 x_{11} & +  0.42 x_{12} & +  4.94 x_{13} & -6.52 x_{14} & -3.70 x_{15}\\
 x_{5}   &  2.42942028482 & +  0.32 x_{1} & -0.00 x_{19} & +  0.03 x_{31} & +  0.02 x_{27} & +  0.06 x_{32} & -0.10 x_{6} & +  0.03 x_{22} & +  0.59 x_{8} & -0.01 x_{16} & -0.02 x_{28} & -0.78 x_{11} & -0.29 x_{12} & +  0.05 x_{13} & -0.24 x_{14} & -0.07 x_{15}\\
 x_{21}   &  8.52980006088 & +  6.41 x_{1} & -0.74 x_{19} & +  0.18 x_{31} & +  0.71 x_{27} & +  1.32 x_{32} & +  2.89 x_{6} & -0.01 x_{22} & + 14.40 x_{8} & +  0.39 x_{16} & -0.28 x_{28} & -16.13 x_{11} & -5.57 x_{12} & -8.78 x_{13} & -12.56 x_{14} & +  7.34 x_{15}\\
 x_{23}   &  19.6041217653 & -3.29 x_{1} & +  0.33 x_{19} & -0.33 x_{31} & +  0.36 x_{27} & -0.08 x_{32} & -5.37 x_{6} & +  0.08 x_{22} & +  0.15 x_{8} & +  0.25 x_{16} & +  0.23 x_{28} & +  4.98 x_{11} & +  7.07 x_{12} & +  0.86 x_{13} & +  7.35 x_{14} & -11.64 x_{15}\\
 x_{24}   &  29.8437128574 & -7.75 x_{1} & +  0.35 x_{19} & -0.42 x_{31} & -0.47 x_{27} & -0.52 x_{32} & -13.68 x_{6} & +  0.33 x_{22} & -8.18 x_{8} & +  0.78 x_{16} & -0.53 x_{28} & +  8.80 x_{11} & +  0.29 x_{12} & +  2.01 x_{13} & -1.20 x_{14} & -10.57 x_{15}\\
 x_{25}   &  22.0914142828 & +  0.55 x_{1} & +  0.11 x_{19} & -0.37 x_{31} & -0.86 x_{27} & +  0.13 x_{32} & -2.06 x_{6} & +  0.40 x_{22} & -8.32 x_{8} & -0.25 x_{16} & -0.30 x_{28} & +  5.24 x_{11} & -20.45 x_{12} & -12.01 x_{13} & -11.86 x_{14} & -3.61 x_{15}\\
 x_{26}   &  21.8437471782 & +  0.50 x_{1} & -0.03 x_{19} & +  0.72 x_{31} & +  0.16 x_{27} & +  0.34 x_{32} & +  6.42 x_{6} & +  0.14 x_{22} & -3.83 x_{8} & -0.47 x_{16} & +  0.48 x_{28} & -7.33 x_{11} & -3.84 x_{12} & +  3.69 x_{13} & +  3.02 x_{14} & -3.20 x_{15}\\
 x_{4}   &  0.494647792947 & +  0.26 x_{1} & +  0.02 x_{19} & -0.04 x_{31} & +  0.05 x_{27} & -0.01 x_{32} & +  1.18 x_{6} & -0.04 x_{22} & +  0.03 x_{8} & -0.02 x_{16} & +  0.08 x_{28} & +  0.27 x_{11} & +  0.79 x_{12} & -0.32 x_{13} & +  1.25 x_{14} & -0.01 x_{15}\\
 x_{2}   &  0.109144247486 & +  0.37 x_{1} & -0.05 x_{19} & -0.02 x_{31} & +  0.00 x_{27} & +  0.05 x_{32} & +  0.57 x_{6} & -0.01 x_{22} & -0.13 x_{8} & -0.04 x_{16} & -0.01 x_{28} & -0.24 x_{11} & -0.15 x_{12} & -0.28 x_{13} & -0.69 x_{14} & +  0.30 x_{15}\\
 x_{29}   &  29.0180596896 & +  3.06 x_{1} & -0.14 x_{19} & +  1.08 x_{31} & -0.33 x_{27} & -0.87 x_{32} & -28.15 x_{6} & +  0.71 x_{22} & +  4.28 x_{8} & +  0.36 x_{16} & -0.05 x_{28} & -3.02 x_{11} & -5.77 x_{12} & +  7.19 x_{13} & +  1.62 x_{14} & -9.35 x_{15}\\
 x_{30}   &  63.6783278413 & -0.66 x_{1} & +  0.22 x_{19} & +  0.23 x_{31} & -0.53 x_{27} & -1.00 x_{32} & -23.26 x_{6} & +  0.34 x_{22} & -15.19 x_{8} & +  0.34 x_{16} & -0.60 x_{28} & -4.97 x_{11} & +  0.69 x_{12} & -1.24 x_{13} & +  2.30 x_{14} & -10.66 x_{15}\\
 x_{3}   &  0.189306209001 & +  0.10 x_{1} & -0.03 x_{19} & +  0.05 x_{31} & +  0.02 x_{27} & +  0.03 x_{32} & -0.05 x_{6} & -0.00 x_{22} & +  0.70 x_{8} & +  0.02 x_{16} & +  0.03 x_{28} & -0.29 x_{11} & +  0.21 x_{12} & -0.10 x_{13} & +  0.38 x_{14} & +  0.28 x_{15}\\
 x_{10}   &  0.0537079748886 & +  0.39 x_{1} & +  0.02 x_{19} & -0.02 x_{31} & -0.05 x_{27} & -0.02 x_{32} & -0.07 x_{6} & +  0.04 x_{22} & -0.60 x_{8} & -0.00 x_{16} & +  0.03 x_{28} & +  0.91 x_{11} & -0.55 x_{12} & -0.44 x_{13} & -0.06 x_{14} & -0.01 x_{15}\\
\hline
z    &  6.96448368638 & -1.51 x_{1} & -0.00 x_{19} & -0.09 x_{31} & -0.18 x_{27} & -0.61 x_{32} & -4.58 x_{6} & +  0.20 x_{22} & -12.13 x_{8} & -0.27 x_{16} & -0.06 x_{28} & -1.52 x_{11} & +  3.15 x_{12} & -4.51 x_{13} & -0.15 x_{14} & -0.58 x_{15}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.29038667231 & -0.59 x_{1} & -0.03 x_{19} & -0.01 x_{31} & +  0.04 x_{27} & +  0.07 x_{32} & +  0.12 x_{6} & -0.02 x_{22} & +  1.16 x_{8} & +  0.05 x_{16} & -0.08 x_{28} & -0.56 x_{11} & +  1.29 x_{10} & +  0.56 x_{13} & -0.61 x_{14} & -0.20 x_{15}\\
 x_{17}   &  37.1370535955 & +  2.65 x_{1} & +  0.19 x_{19} & -0.19 x_{31} & -1.07 x_{27} & -1.05 x_{32} & -6.75 x_{6} & +  0.43 x_{22} & -21.37 x_{8} & -0.03 x_{16} & +  0.30 x_{28} & + 14.54 x_{11} & -14.67 x_{10} & +  0.23 x_{13} & -7.28 x_{14} & -3.47 x_{15}\\
 x_{18}   &  15.6441768304 & -7.59 x_{1} & +  1.27 x_{19} & -0.60 x_{31} & -0.09 x_{27} & -1.16 x_{32} & + 12.41 x_{6} & -0.41 x_{22} & -12.58 x_{8} & -0.34 x_{16} & +  1.09 x_{28} & + 20.06 x_{11} & -7.93 x_{10} & -5.52 x_{13} & + 14.64 x_{14} & -10.51 x_{15}\\
 x_{9}   &  2.95098611058 & -0.36 x_{1} & -0.06 x_{19} & +  0.02 x_{31} & +  0.03 x_{27} & -0.01 x_{32} & -0.46 x_{6} & +  0.03 x_{22} & +  0.18 x_{8} & +  0.01 x_{16} & -0.05 x_{28} & -0.69 x_{11} & +  0.55 x_{10} & +  0.46 x_{13} & -0.51 x_{14} & -0.07 x_{15}\\
 x_{20}   &  36.1588734562 & -7.18 x_{1} & +  0.20 x_{19} & +  0.23 x_{31} & +  0.26 x_{27} & +  0.44 x_{32} & +  1.15 x_{6} & -0.22 x_{22} & + 12.90 x_{8} & +  0.05 x_{16} & -0.07 x_{28} & -15.76 x_{11} & -0.76 x_{10} & +  4.61 x_{13} & -6.56 x_{14} & -3.71 x_{15}\\
 x_{5}   &  2.40138817283 & +  0.11 x_{1} & -0.02 x_{19} & +  0.04 x_{31} & +  0.05 x_{27} & +  0.07 x_{32} & -0.07 x_{6} & +  0.01 x_{22} & +  0.90 x_{8} & -0.01 x_{16} & -0.03 x_{28} & -1.26 x_{11} & +  0.52 x_{10} & +  0.28 x_{13} & -0.21 x_{14} & -0.06 x_{15}\\
 x_{21}   &  7.98895771613 & +  2.45 x_{1} & -0.97 x_{19} & +  0.43 x_{31} & +  1.21 x_{27} & +  1.55 x_{32} & +  3.55 x_{6} & -0.41 x_{22} & + 20.50 x_{8} & +  0.43 x_{16} & -0.58 x_{28} & -25.30 x_{11} & + 10.07 x_{10} & -4.38 x_{13} & -11.98 x_{14} & +  7.47 x_{15}\\
 x_{23}   &  20.2910545958 & +  1.74 x_{1} & +  0.62 x_{19} & -0.64 x_{31} & -0.27 x_{27} & -0.37 x_{32} & -6.21 x_{6} & +  0.58 x_{22} & -7.58 x_{8} & +  0.20 x_{16} & +  0.61 x_{28} & + 16.64 x_{11} & -12.79 x_{10} & -4.74 x_{13} & +  6.62 x_{14} & -11.80 x_{15}\\
 x_{24}   &  29.8721157324 & -7.54 x_{1} & +  0.36 x_{19} & -0.43 x_{31} & -0.50 x_{27} & -0.53 x_{32} & -13.72 x_{6} & +  0.35 x_{22} & -8.50 x_{8} & +  0.78 x_{16} & -0.52 x_{28} & +  9.28 x_{11} & -0.53 x_{10} & +  1.78 x_{13} & -1.23 x_{14} & -10.58 x_{15}\\
 x_{25}   &  20.1055903967 & -13.99 x_{1} & -0.72 x_{19} & +  0.54 x_{31} & +  0.98 x_{27} & +  1.00 x_{32} & +  0.37 x_{6} & -1.07 x_{22} & + 14.04 x_{8} & -0.10 x_{16} & -1.39 x_{28} & -28.45 x_{11} & + 36.97 x_{10} & +  4.16 x_{13} & -9.74 x_{14} & -3.12 x_{15}\\
 x_{26}   &  21.4707367935 & -2.23 x_{1} & -0.18 x_{19} & +  0.89 x_{31} & +  0.50 x_{27} & +  0.50 x_{32} & +  6.87 x_{6} & -0.14 x_{22} & +  0.37 x_{8} & -0.44 x_{16} & +  0.28 x_{28} & -13.65 x_{11} & +  6.95 x_{10} & +  6.73 x_{13} & +  3.42 x_{14} & -3.11 x_{15}\\
 x_{4}   &  0.571539379016 & +  0.82 x_{1} & +  0.05 x_{19} & -0.07 x_{31} & -0.02 x_{27} & -0.04 x_{32} & +  1.08 x_{6} & +  0.02 x_{22} & -0.84 x_{8} & -0.03 x_{16} & +  0.12 x_{28} & +  1.57 x_{11} & -1.43 x_{10} & -0.95 x_{13} & +  1.17 x_{14} & -0.03 x_{15}\\
 x_{2}   &  0.0946573814013 & +  0.27 x_{1} & -0.06 x_{19} & -0.01 x_{31} & +  0.02 x_{27} & +  0.05 x_{32} & +  0.59 x_{6} & -0.02 x_{22} & +  0.03 x_{8} & -0.04 x_{16} & -0.01 x_{28} & -0.48 x_{11} & +  0.27 x_{10} & -0.16 x_{13} & -0.67 x_{14} & +  0.30 x_{15}\\
 x_{29}   &  28.4580323958 & -1.04 x_{1} & -0.37 x_{19} & +  1.34 x_{31} & +  0.19 x_{27} & -0.63 x_{32} & -27.47 x_{6} & +  0.30 x_{22} & + 10.59 x_{8} & +  0.40 x_{16} & -0.35 x_{28} & -12.52 x_{11} & + 10.43 x_{10} & + 11.75 x_{13} & +  2.22 x_{14} & -9.21 x_{15}\\
 x_{30}   &  63.7456919703 & -0.16 x_{1} & +  0.25 x_{19} & +  0.20 x_{31} & -0.60 x_{27} & -1.03 x_{32} & -23.34 x_{6} & +  0.39 x_{22} & -15.95 x_{8} & +  0.33 x_{16} & -0.56 x_{28} & -3.82 x_{11} & -1.25 x_{10} & -1.79 x_{13} & +  2.23 x_{14} & -10.68 x_{15}\\
 x_{3}   &  0.209401715979 & +  0.25 x_{1} & -0.03 x_{19} & +  0.04 x_{31} & +  0.00 x_{27} & +  0.02 x_{32} & -0.07 x_{6} & +  0.01 x_{22} & +  0.47 x_{8} & +  0.02 x_{16} & +  0.04 x_{28} & +  0.05 x_{11} & -0.37 x_{10} & -0.26 x_{13} & +  0.36 x_{14} & +  0.27 x_{15}\\
 x_{12}   &  0.0971043822862 & +  0.71 x_{1} & +  0.04 x_{19} & -0.04 x_{31} & -0.09 x_{27} & -0.04 x_{32} & -0.12 x_{6} & +  0.07 x_{22} & -1.09 x_{8} & -0.01 x_{16} & +  0.05 x_{28} & +  1.65 x_{11} & -1.81 x_{10} & -0.79 x_{13} & -0.10 x_{14} & -0.02 x_{15}\\
\hline
z    &  7.27009041591 & +  0.73 x_{1} & +  0.13 x_{19} & -0.23 x_{31} & -0.46 x_{27} & -0.75 x_{32} & -4.95 x_{6} & +  0.42 x_{22} & -15.57 x_{8} & -0.29 x_{16} & +  0.10 x_{28} & +  3.66 x_{11} & -5.69 x_{10} & -7.00 x_{13} & -0.47 x_{14} & -0.66 x_{15}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  0.489886608928 & -1.69 x_{7} & -0.05 x_{19} & -0.02 x_{31} & +  0.06 x_{27} & +  0.11 x_{32} & +  0.20 x_{6} & -0.03 x_{22} & +  1.95 x_{8} & +  0.08 x_{16} & -0.13 x_{28} & -0.94 x_{11} & +  2.18 x_{10} & +  0.95 x_{13} & -1.03 x_{14} & -0.34 x_{15}\\
 x_{17}   &  38.4368603805 & -4.48 x_{7} & +  0.07 x_{19} & -0.24 x_{31} & -0.91 x_{27} & -0.75 x_{32} & -6.23 x_{6} & +  0.36 x_{22} & -16.18 x_{8} & +  0.18 x_{16} & -0.06 x_{28} & + 12.04 x_{11} & -8.89 x_{10} & +  2.76 x_{13} & -10.02 x_{14} & -4.39 x_{15}\\
 x_{18}   &  11.9279742806 & + 12.80 x_{7} & +  1.61 x_{19} & -0.44 x_{31} & -0.54 x_{27} & -2.01 x_{32} & + 10.92 x_{6} & -0.21 x_{22} & -27.41 x_{8} & -0.94 x_{16} & +  2.10 x_{28} & + 27.20 x_{11} & -24.45 x_{10} & -12.74 x_{13} & + 22.48 x_{14} & -7.90 x_{15}\\
 x_{9}   &  2.77393492168 & +  0.61 x_{7} & -0.04 x_{19} & +  0.03 x_{31} & +  0.01 x_{27} & -0.05 x_{32} & -0.53 x_{6} & +  0.04 x_{22} & -0.52 x_{8} & -0.02 x_{16} & -0.00 x_{28} & -0.35 x_{11} & -0.24 x_{10} & +  0.11 x_{13} & -0.14 x_{14} & +  0.05 x_{15}\\
 x_{20}   &  32.6429685541 & + 12.11 x_{7} & +  0.52 x_{19} & +  0.38 x_{31} & -0.17 x_{27} & -0.37 x_{32} & -0.26 x_{6} & -0.04 x_{22} & -1.13 x_{8} & -0.52 x_{16} & +  0.90 x_{28} & -9.01 x_{11} & -16.39 x_{10} & -2.22 x_{13} & +  0.86 x_{14} & -1.24 x_{15}\\
 x_{5}   &  2.45648115021 & -0.19 x_{7} & -0.02 x_{19} & +  0.04 x_{31} & +  0.05 x_{27} & +  0.09 x_{32} & -0.05 x_{6} & +  0.00 x_{22} & +  1.12 x_{8} & -0.00 x_{16} & -0.05 x_{28} & -1.36 x_{11} & +  0.77 x_{10} & +  0.39 x_{13} & -0.33 x_{14} & -0.10 x_{15}\\
 x_{21}   &  9.18842390201 & -4.13 x_{7} & -1.08 x_{19} & +  0.38 x_{31} & +  1.35 x_{27} & +  1.83 x_{32} & +  4.03 x_{6} & -0.47 x_{22} & + 25.28 x_{8} & +  0.62 x_{16} & -0.91 x_{28} & -27.60 x_{11} & + 15.40 x_{10} & -2.05 x_{13} & -14.51 x_{14} & +  6.63 x_{15}\\
 x_{23}   &  21.142307171 & -2.93 x_{7} & +  0.54 x_{19} & -0.68 x_{31} & -0.17 x_{27} & -0.18 x_{32} & -5.87 x_{6} & +  0.54 x_{22} & -4.19 x_{8} & +  0.34 x_{16} & +  0.38 x_{28} & + 15.00 x_{11} & -9.01 x_{10} & -3.08 x_{13} & +  4.82 x_{14} & -12.40 x_{15}\\
 x_{24}   &  26.1764560387 & + 12.73 x_{7} & +  0.70 x_{19} & -0.28 x_{31} & -0.95 x_{27} & -1.38 x_{32} & -15.19 x_{6} & +  0.55 x_{22} & -23.25 x_{8} & +  0.18 x_{16} & +  0.49 x_{28} & + 16.37 x_{11} & -16.96 x_{10} & -5.40 x_{13} & +  6.57 x_{14} & -7.99 x_{15}\\
 x_{25}   &  13.2509181317 & + 23.61 x_{7} & -0.09 x_{19} & +  0.83 x_{31} & +  0.15 x_{27} & -0.58 x_{32} & -2.38 x_{6} & -0.70 x_{22} & -13.32 x_{8} & -1.20 x_{16} & +  0.49 x_{28} & -15.29 x_{11} & +  6.51 x_{10} & -9.15 x_{13} & +  4.73 x_{14} & +  1.70 x_{15}\\
 x_{26}   &  20.3779039813 & +  3.76 x_{7} & -0.08 x_{19} & +  0.94 x_{31} & +  0.37 x_{27} & +  0.25 x_{32} & +  6.44 x_{6} & -0.08 x_{22} & -3.99 x_{8} & -0.62 x_{16} & +  0.58 x_{28} & -11.56 x_{11} & +  2.09 x_{10} & +  4.61 x_{13} & +  5.73 x_{14} & -2.34 x_{15}\\
 x_{4}   &  0.972933993764 & -1.38 x_{7} & +  0.02 x_{19} & -0.09 x_{31} & +  0.03 x_{27} & +  0.05 x_{32} & +  1.24 x_{6} & -0.00 x_{22} & +  0.76 x_{8} & +  0.04 x_{16} & +  0.01 x_{28} & +  0.80 x_{11} & +  0.35 x_{10} & -0.17 x_{13} & +  0.32 x_{14} & -0.31 x_{15}\\
 x_{2}   &  0.224710568125 & -0.45 x_{7} & -0.07 x_{19} & -0.02 x_{31} & +  0.03 x_{27} & +  0.08 x_{32} & +  0.64 x_{6} & -0.03 x_{22} & +  0.55 x_{8} & -0.02 x_{16} & -0.05 x_{28} & -0.73 x_{11} & +  0.85 x_{10} & +  0.09 x_{13} & -0.95 x_{14} & +  0.21 x_{15}\\
 x_{29}   &  27.9483622415 & +  1.76 x_{7} & -0.32 x_{19} & +  1.36 x_{31} & +  0.13 x_{27} & -0.74 x_{32} & -27.67 x_{6} & +  0.32 x_{22} & +  8.55 x_{8} & +  0.32 x_{16} & -0.21 x_{28} & -11.54 x_{11} & +  8.16 x_{10} & + 10.76 x_{13} & +  3.30 x_{14} & -8.86 x_{15}\\
 x_{30}   &  63.6665105421 & +  0.27 x_{7} & +  0.25 x_{19} & +  0.20 x_{31} & -0.60 x_{27} & -1.04 x_{32} & -23.37 x_{6} & +  0.40 x_{22} & -16.26 x_{8} & +  0.32 x_{16} & -0.54 x_{28} & -3.67 x_{11} & -1.61 x_{10} & -1.95 x_{13} & +  2.40 x_{14} & -10.62 x_{15}\\
 x_{3}   &  0.330165597594 & -0.42 x_{7} & -0.04 x_{19} & +  0.03 x_{31} & +  0.02 x_{27} & +  0.05 x_{32} & -0.03 x_{6} & +  0.00 x_{22} & +  0.95 x_{8} & +  0.04 x_{16} & +  0.01 x_{28} & -0.19 x_{11} & +  0.16 x_{10} & -0.03 x_{13} & +  0.11 x_{14} & +  0.19 x_{15}\\
 x_{12}   &  0.445567594915 & -1.20 x_{7} & +  0.01 x_{19} & -0.06 x_{31} & -0.05 x_{27} & +  0.04 x_{32} & +  0.02 x_{6} & +  0.05 x_{22} & +  0.30 x_{8} & +  0.05 x_{16} & -0.04 x_{28} & +  0.98 x_{11} & -0.26 x_{10} & -0.11 x_{13} & -0.84 x_{14} & -0.27 x_{15}\\
\hline
z    &  7.62533409699 & -1.22 x_{7} & +  0.09 x_{19} & -0.24 x_{31} & -0.42 x_{27} & -0.67 x_{32} & -4.81 x_{6} & +  0.41 x_{22} & -14.15 x_{8} & -0.24 x_{16} & +  0.01 x_{28} & +  2.98 x_{11} & -4.11 x_{10} & -6.31 x_{13} & -1.22 x_{14} & -0.91 x_{15}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  0.200926633917 & -1.11 x_{7} & +  0.04 x_{19} & +  0.00 x_{31} & +  0.02 x_{27} & +  0.01 x_{32} & -0.63 x_{6} & +  0.01 x_{22} & +  1.25 x_{8} & +  0.10 x_{16} & -0.07 x_{28} & +  1.29 x_{2} & +  1.09 x_{10} & +  0.84 x_{13} & +  0.19 x_{14} & -0.62 x_{15}\\
 x_{17}   &  42.1365663188 & -11.85 x_{7} & -1.05 x_{19} & -0.53 x_{31} & -0.37 x_{27} & +  0.62 x_{32} & +  4.31 x_{6} & -0.12 x_{22} & -7.15 x_{8} & -0.09 x_{16} & -0.88 x_{28} & -16.46 x_{2} & +  5.07 x_{10} & +  4.22 x_{13} & -25.65 x_{14} & -0.89 x_{15}\\
 x_{18}   &  20.2834541834 & -3.86 x_{7} & -0.92 x_{19} & -1.09 x_{31} & +  0.68 x_{27} & +  1.09 x_{32} & + 34.73 x_{6} & -1.29 x_{22} & -7.01 x_{8} & -1.54 x_{16} & +  0.25 x_{28} & -37.18 x_{2} & +  7.08 x_{10} & -9.42 x_{13} & -12.82 x_{14} & -0.01 x_{15}\\
 x_{9}   &  2.66782936424 & +  0.82 x_{7} & -0.01 x_{19} & +  0.03 x_{31} & -0.00 x_{27} & -0.09 x_{32} & -0.84 x_{6} & +  0.05 x_{22} & -0.78 x_{8} & -0.02 x_{16} & +  0.02 x_{28} & +  0.47 x_{2} & -0.64 x_{10} & +  0.07 x_{13} & +  0.31 x_{14} & -0.05 x_{15}\\
 x_{20}   &  29.8765469316 & + 17.62 x_{7} & +  1.36 x_{19} & +  0.59 x_{31} & -0.58 x_{27} & -1.40 x_{32} & -8.14 x_{6} & +  0.32 x_{22} & -7.89 x_{8} & -0.32 x_{16} & +  1.51 x_{28} & + 12.31 x_{2} & -26.82 x_{10} & -3.32 x_{13} & + 12.54 x_{14} & -3.85 x_{15}\\
 x_{5}   &  2.03726270215 & +  0.65 x_{7} & +  0.11 x_{19} & +  0.07 x_{31} & -0.01 x_{27} & -0.07 x_{32} & -1.24 x_{6} & +  0.06 x_{22} & +  0.10 x_{8} & +  0.03 x_{16} & +  0.04 x_{28} & +  1.87 x_{2} & -0.81 x_{10} & +  0.22 x_{13} & +  1.44 x_{14} & -0.50 x_{15}\\
 x_{21}   &  0.708517548057 & + 12.77 x_{7} & +  1.50 x_{19} & +  1.03 x_{31} & +  0.11 x_{27} & -1.33 x_{32} & -20.13 x_{6} & +  0.63 x_{22} & +  4.58 x_{8} & +  1.23 x_{16} & +  0.98 x_{28} & + 37.74 x_{2} & -16.59 x_{10} & -5.41 x_{13} & + 21.31 x_{14} & -1.38 x_{15}\\
 x_{23}   &  25.7510365487 & -12.12 x_{7} & -0.86 x_{19} & -1.04 x_{31} & +  0.51 x_{27} & +  1.53 x_{32} & +  7.26 x_{6} & -0.06 x_{22} & +  7.06 x_{8} & +  0.01 x_{16} & -0.65 x_{28} & -20.51 x_{2} & +  8.38 x_{10} & -1.26 x_{13} & -14.65 x_{14} & -8.05 x_{15}\\
 x_{24}   &  31.2067912959 & +  2.70 x_{7} & -0.83 x_{19} & -0.66 x_{31} & -0.21 x_{27} & +  0.49 x_{32} & -0.86 x_{6} & -0.11 x_{22} & -10.97 x_{8} & -0.18 x_{16} & -0.62 x_{28} & -22.39 x_{2} & +  2.02 x_{10} & -3.40 x_{13} & -14.68 x_{14} & -3.23 x_{15}\\
 x_{25}   &  8.55454744263 & + 32.97 x_{7} & +  1.34 x_{19} & +  1.19 x_{31} & -0.54 x_{27} & -2.32 x_{32} & -15.76 x_{6} & -0.09 x_{22} & -24.78 x_{8} & -0.87 x_{16} & +  1.53 x_{28} & + 20.90 x_{2} & -11.21 x_{10} & -11.01 x_{13} & + 24.57 x_{14} & -2.74 x_{15}\\
 x_{26}   &  16.8279315655 & + 10.84 x_{7} & +  0.99 x_{19} & +  1.21 x_{31} & -0.15 x_{27} & -1.07 x_{32} & -3.68 x_{6} & +  0.38 x_{22} & -12.65 x_{8} & -0.36 x_{16} & +  1.37 x_{28} & + 15.80 x_{2} & -11.31 x_{10} & +  3.20 x_{13} & + 20.73 x_{14} & -5.70 x_{15}\\
 x_{4}   &  1.2186873934 & -1.87 x_{7} & -0.06 x_{19} & -0.11 x_{31} & +  0.06 x_{27} & +  0.14 x_{32} & +  1.94 x_{6} & -0.03 x_{22} & +  1.36 x_{8} & +  0.02 x_{16} & -0.04 x_{28} & -1.09 x_{2} & +  1.28 x_{10} & -0.07 x_{13} & -0.71 x_{14} & -0.08 x_{15}\\
 x_{11}   &  0.307199100597 & -0.61 x_{7} & -0.09 x_{19} & -0.02 x_{31} & +  0.05 x_{27} & +  0.11 x_{32} & +  0.88 x_{6} & -0.04 x_{22} & +  0.75 x_{8} & -0.02 x_{16} & -0.07 x_{28} & -1.37 x_{2} & +  1.16 x_{10} & +  0.12 x_{13} & -1.30 x_{14} & +  0.29 x_{15}\\
 x_{29}   &  24.4024655593 & +  8.82 x_{7} & +  0.75 x_{19} & +  1.63 x_{31} & -0.39 x_{27} & -2.06 x_{32} & -37.77 x_{6} & +  0.78 x_{22} & -0.10 x_{8} & +  0.57 x_{16} & +  0.57 x_{28} & + 15.78 x_{2} & -5.22 x_{10} & +  9.35 x_{13} & + 18.28 x_{14} & -12.20 x_{15}\\
 x_{30}   &  62.5381977268 & +  2.52 x_{7} & +  0.60 x_{19} & +  0.29 x_{31} & -0.77 x_{27} & -1.46 x_{32} & -26.59 x_{6} & +  0.54 x_{22} & -19.02 x_{8} & +  0.40 x_{16} & -0.29 x_{28} & +  5.02 x_{2} & -5.86 x_{10} & -2.39 x_{13} & +  7.16 x_{14} & -11.69 x_{15}\\
 x_{3}   &  0.27330565796 & -0.30 x_{7} & -0.02 x_{19} & +  0.04 x_{31} & +  0.01 x_{27} & +  0.03 x_{32} & -0.19 x_{6} & +  0.01 x_{22} & +  0.81 x_{8} & +  0.04 x_{16} & +  0.02 x_{28} & +  0.25 x_{2} & -0.05 x_{10} & -0.05 x_{13} & +  0.35 x_{14} & +  0.14 x_{15}\\
 x_{12}   &  0.746071157281 & -1.80 x_{7} & -0.08 x_{19} & -0.08 x_{31} & -0.00 x_{27} & +  0.15 x_{32} & +  0.88 x_{6} & +  0.01 x_{22} & +  1.03 x_{8} & +  0.03 x_{16} & -0.11 x_{28} & -1.34 x_{2} & +  0.87 x_{10} & +  0.01 x_{13} & -2.11 x_{14} & +  0.02 x_{15}\\
\hline
z    &  8.5411664271 & -3.05 x_{7} & -0.18 x_{19} & -0.31 x_{31} & -0.29 x_{27} & -0.33 x_{32} & -2.20 x_{6} & +  0.29 x_{22} & -11.92 x_{8} & -0.30 x_{16} & -0.20 x_{28} & -4.08 x_{2} & -0.66 x_{10} & -5.95 x_{13} & -5.09 x_{14} & -0.04 x_{15}\\
\end{array}\]


 $ x_{22} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  0.287918556391 & -1.28 x_{7} & +  0.02 x_{19} & -0.01 x_{31} & +  0.03 x_{27} & +  0.04 x_{32} & -0.38 x_{6} & -0.28 x_{11} & +  1.46 x_{8} & +  0.09 x_{16} & -0.09 x_{28} & +  0.90 x_{2} & +  1.42 x_{10} & +  0.87 x_{13} & -0.18 x_{14} & -0.53 x_{15}\\
 x_{17}   &  41.2471539769 & -10.08 x_{7} & -0.78 x_{19} & -0.46 x_{31} & -0.50 x_{27} & +  0.29 x_{32} & +  1.77 x_{6} & +  2.90 x_{11} & -9.32 x_{8} & -0.02 x_{16} & -0.68 x_{28} & -12.51 x_{2} & +  1.71 x_{10} & +  3.87 x_{13} & -21.89 x_{14} & -1.73 x_{15}\\
 x_{18}   &  10.2982166388 & + 16.05 x_{7} & +  2.11 x_{19} & -0.32 x_{31} & -0.78 x_{27} & -2.62 x_{32} & +  6.28 x_{6} & + 32.50 x_{11} & -31.38 x_{8} & -0.82 x_{16} & +  2.47 x_{28} & +  7.25 x_{2} & -30.60 x_{10} & -13.38 x_{13} & + 29.37 x_{14} & -9.44 x_{15}\\
 x_{9}   &  3.06698090452 & +  0.03 x_{7} & -0.13 x_{19} & +  0.00 x_{31} & +  0.05 x_{27} & +  0.06 x_{32} & +  0.30 x_{6} & -1.30 x_{11} & +  0.19 x_{8} & -0.04 x_{16} & -0.07 x_{28} & -1.30 x_{2} & +  0.87 x_{10} & +  0.23 x_{13} & -1.38 x_{14} & +  0.33 x_{15}\\
 x_{20}   &  32.3693502833 & + 12.65 x_{7} & +  0.61 x_{19} & +  0.40 x_{31} & -0.21 x_{27} & -0.47 x_{32} & -1.04 x_{6} & -8.11 x_{11} & -1.80 x_{8} & -0.50 x_{16} & +  0.96 x_{28} & +  1.22 x_{2} & -17.42 x_{10} & -2.33 x_{13} & +  2.01 x_{14} & -1.50 x_{15}\\
 x_{5}   &  2.48666548639 & -0.25 x_{7} & -0.03 x_{19} & +  0.04 x_{31} & +  0.06 x_{27} & +  0.10 x_{32} & +  0.04 x_{6} & -1.46 x_{11} & +  1.20 x_{8} & -0.00 x_{16} & -0.06 x_{28} & -0.13 x_{2} & +  0.88 x_{10} & +  0.40 x_{13} & -0.46 x_{14} & -0.07 x_{15}\\
 x_{21}   &  5.55259365053 & +  3.12 x_{7} & +  0.03 x_{19} & +  0.66 x_{31} & +  0.82 x_{27} & +  0.47 x_{32} & -6.33 x_{6} & -15.77 x_{11} & + 16.41 x_{8} & +  0.89 x_{16} & -0.10 x_{28} & + 16.18 x_{2} & +  1.68 x_{10} & -3.49 x_{13} & +  0.85 x_{14} & +  3.20 x_{15}\\
 x_{23}   &  25.3015578419 & -11.22 x_{7} & -0.72 x_{19} & -1.00 x_{31} & +  0.44 x_{27} & +  1.37 x_{32} & +  5.98 x_{6} & +  1.46 x_{11} & +  5.96 x_{8} & +  0.04 x_{16} & -0.55 x_{28} & -18.51 x_{2} & +  6.69 x_{10} & -1.43 x_{13} & -12.75 x_{14} & -8.47 x_{15}\\
 x_{24}   &  30.3865648463 & +  4.34 x_{7} & -0.58 x_{19} & -0.60 x_{31} & -0.33 x_{27} & +  0.19 x_{32} & -3.20 x_{6} & +  2.67 x_{11} & -12.97 x_{8} & -0.12 x_{16} & -0.44 x_{28} & -18.74 x_{2} & -1.07 x_{10} & -3.73 x_{13} & -11.22 x_{14} & -4.01 x_{15}\\
 x_{25}   &  7.8393109422 & + 34.39 x_{7} & +  1.56 x_{19} & +  1.25 x_{31} & -0.65 x_{27} & -2.59 x_{32} & -17.79 x_{6} & +  2.33 x_{11} & -26.52 x_{8} & -0.81 x_{16} & +  1.69 x_{28} & + 24.08 x_{2} & -13.91 x_{10} & -11.30 x_{13} & + 27.59 x_{14} & -3.42 x_{15}\\
 x_{26}   &  19.7684137484 & +  4.98 x_{7} & +  0.10 x_{19} & +  0.99 x_{31} & +  0.28 x_{27} & +  0.02 x_{32} & +  4.70 x_{6} & -9.57 x_{11} & -5.48 x_{8} & -0.58 x_{16} & +  0.71 x_{28} & +  2.71 x_{2} & -0.21 x_{10} & +  4.37 x_{13} & +  8.30 x_{14} & -2.92 x_{15}\\
 x_{4}   &  0.954250944318 & -1.35 x_{7} & +  0.02 x_{19} & -0.09 x_{31} & +  0.02 x_{27} & +  0.04 x_{32} & +  1.19 x_{6} & +  0.86 x_{11} & +  0.72 x_{8} & +  0.04 x_{16} & +  0.02 x_{28} & +  0.08 x_{2} & +  0.28 x_{10} & -0.17 x_{13} & +  0.40 x_{14} & -0.33 x_{15}\\
 x_{22}   &  7.71287753397 & -15.37 x_{7} & -2.34 x_{19} & -0.59 x_{31} & +  1.13 x_{27} & +  2.87 x_{32} & + 21.97 x_{6} & -25.11 x_{11} & + 18.82 x_{8} & -0.56 x_{16} & -1.71 x_{28} & -34.32 x_{2} & + 29.10 x_{10} & +  3.06 x_{13} & -32.58 x_{14} & +  7.29 x_{15}\\
 x_{29}   &  30.4375954269 & -3.21 x_{7} & -1.08 x_{19} & +  1.17 x_{31} & +  0.49 x_{27} & +  0.18 x_{32} & -20.58 x_{6} & -19.65 x_{11} & + 14.63 x_{8} & +  0.14 x_{16} & -0.77 x_{28} & -11.08 x_{2} & + 17.55 x_{10} & + 11.75 x_{13} & -7.22 x_{14} & -6.50 x_{15}\\
 x_{30}   &  66.7239515074 & -5.82 x_{7} & -0.68 x_{19} & -0.04 x_{31} & -0.16 x_{27} & +  0.09 x_{32} & -14.66 x_{6} & -13.63 x_{11} & -8.80 x_{8} & +  0.10 x_{16} & -1.22 x_{28} & -13.61 x_{2} & +  9.93 x_{10} & -0.73 x_{13} & -10.52 x_{14} & -7.74 x_{15}\\
 x_{3}   &  0.358171748773 & -0.47 x_{7} & -0.04 x_{19} & +  0.03 x_{31} & +  0.02 x_{27} & +  0.06 x_{32} & +  0.05 x_{6} & -0.28 x_{11} & +  1.02 x_{8} & +  0.04 x_{16} & -0.00 x_{28} & -0.12 x_{2} & +  0.27 x_{10} & -0.02 x_{13} & -0.01 x_{14} & +  0.22 x_{15}\\
 x_{12}   &  0.85682136564 & -2.02 x_{7} & -0.12 x_{19} & -0.09 x_{31} & +  0.01 x_{27} & +  0.19 x_{32} & +  1.19 x_{6} & -0.36 x_{11} & +  1.30 x_{8} & +  0.02 x_{16} & -0.13 x_{28} & -1.83 x_{2} & +  1.29 x_{10} & +  0.05 x_{13} & -2.58 x_{14} & +  0.12 x_{15}\\
\hline
z    &  10.7558307678 & -7.46 x_{7} & -0.86 x_{19} & -0.48 x_{31} & +  0.04 x_{27} & +  0.50 x_{32} & +  4.11 x_{6} & -7.21 x_{11} & -6.51 x_{8} & -0.46 x_{16} & -0.69 x_{28} & -13.93 x_{2} & +  7.70 x_{10} & -5.07 x_{13} & -14.45 x_{14} & +  2.05 x_{15}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  0.120790606257 & -2.02 x_{7} & -0.02 x_{19} & -0.03 x_{31} & +  0.04 x_{27} & +  0.09 x_{32} & +  0.02 x_{25} & -0.33 x_{11} & +  2.03 x_{8} & +  0.11 x_{16} & -0.13 x_{28} & +  0.39 x_{2} & +  1.71 x_{10} & +  1.11 x_{13} & -0.77 x_{14} & -0.46 x_{15}\\
 x_{17}   &  42.0287016571 & -6.65 x_{7} & -0.63 x_{19} & -0.33 x_{31} & -0.56 x_{27} & +  0.03 x_{32} & -0.10 x_{25} & +  3.13 x_{11} & -11.97 x_{8} & -0.10 x_{16} & -0.51 x_{28} & -10.11 x_{2} & +  0.32 x_{10} & +  2.74 x_{13} & -19.14 x_{14} & -2.07 x_{15}\\
 x_{18}   &  13.0641317333 & + 28.18 x_{7} & +  2.66 x_{19} & +  0.12 x_{31} & -1.01 x_{27} & -3.53 x_{32} & -0.35 x_{25} & + 33.33 x_{11} & -40.74 x_{8} & -1.11 x_{16} & +  3.06 x_{28} & + 15.75 x_{2} & -35.50 x_{10} & -17.37 x_{13} & + 39.10 x_{14} & -10.65 x_{15}\\
 x_{9}   &  3.1991640862 & +  0.61 x_{7} & -0.10 x_{19} & +  0.02 x_{31} & +  0.04 x_{27} & +  0.02 x_{32} & -0.02 x_{25} & -1.26 x_{11} & -0.26 x_{8} & -0.06 x_{16} & -0.04 x_{28} & -0.90 x_{2} & +  0.63 x_{10} & +  0.04 x_{13} & -0.91 x_{14} & +  0.27 x_{15}\\
 x_{20}   &  31.9128094184 & + 10.65 x_{7} & +  0.52 x_{19} & +  0.32 x_{31} & -0.17 x_{27} & -0.32 x_{32} & +  0.06 x_{25} & -8.25 x_{11} & -0.26 x_{8} & -0.45 x_{16} & +  0.86 x_{28} & -0.18 x_{2} & -16.61 x_{10} & -1.67 x_{13} & +  0.41 x_{14} & -1.30 x_{15}\\
 x_{5}   &  2.50367222306 & -0.18 x_{7} & -0.03 x_{19} & +  0.04 x_{31} & +  0.06 x_{27} & +  0.09 x_{32} & -0.00 x_{25} & -1.46 x_{11} & +  1.14 x_{8} & -0.01 x_{16} & -0.05 x_{28} & -0.08 x_{2} & +  0.85 x_{10} & +  0.38 x_{13} & -0.40 x_{14} & -0.08 x_{15}\\
 x_{21}   &  2.76574299988 & -9.11 x_{7} & -0.53 x_{19} & +  0.21 x_{31} & +  1.05 x_{27} & +  1.39 x_{32} & +  0.36 x_{25} & -16.60 x_{11} & + 25.84 x_{8} & +  1.17 x_{16} & -0.70 x_{28} & +  7.62 x_{2} & +  6.63 x_{10} & +  0.53 x_{13} & -8.96 x_{14} & +  4.41 x_{15}\\
 x_{23}   &  27.9348557785 & +  0.33 x_{7} & -0.20 x_{19} & -0.58 x_{31} & +  0.22 x_{27} & +  0.50 x_{32} & -0.34 x_{25} & +  2.25 x_{11} & -2.95 x_{8} & -0.24 x_{16} & +  0.02 x_{28} & -10.42 x_{2} & +  2.01 x_{10} & -5.23 x_{13} & -3.48 x_{14} & -9.62 x_{15}\\
 x_{24}   &  28.9766400496 & -1.85 x_{7} & -0.86 x_{19} & -0.83 x_{31} & -0.21 x_{27} & +  0.65 x_{32} & +  0.18 x_{25} & +  2.25 x_{11} & -8.20 x_{8} & +  0.03 x_{16} & -0.74 x_{28} & -23.07 x_{2} & +  1.43 x_{10} & -1.69 x_{13} & -16.18 x_{14} & -3.39 x_{15}\\
 x_{6}   &  0.44057902146 & +  1.93 x_{7} & +  0.09 x_{19} & +  0.07 x_{31} & -0.04 x_{27} & -0.15 x_{32} & -0.06 x_{25} & +  0.13 x_{11} & -1.49 x_{8} & -0.05 x_{16} & +  0.09 x_{28} & +  1.35 x_{2} & -0.78 x_{10} & -0.63 x_{13} & +  1.55 x_{14} & -0.19 x_{15}\\
 x_{26}   &  21.8393821859 & + 14.06 x_{7} & +  0.51 x_{19} & +  1.31 x_{31} & +  0.11 x_{27} & -0.66 x_{32} & -0.26 x_{25} & -8.96 x_{11} & -12.48 x_{8} & -0.79 x_{16} & +  1.16 x_{28} & +  9.07 x_{2} & -3.89 x_{10} & +  1.38 x_{13} & + 15.59 x_{14} & -3.82 x_{15}\\
 x_{4}   &  1.47891193777 & +  0.96 x_{7} & +  0.13 x_{19} & -0.00 x_{31} & -0.02 x_{27} & -0.13 x_{32} & -0.07 x_{25} & +  1.02 x_{11} & -1.06 x_{8} & -0.01 x_{16} & +  0.13 x_{28} & +  1.69 x_{2} & -0.65 x_{10} & -0.93 x_{13} & +  2.25 x_{14} & -0.56 x_{15}\\
 x_{22}   &  17.3941818588 & + 27.10 x_{7} & -0.42 x_{19} & +  0.95 x_{31} & +  0.33 x_{27} & -0.33 x_{32} & -1.23 x_{25} & -22.23 x_{11} & -13.93 x_{8} & -1.56 x_{16} & +  0.37 x_{28} & -4.58 x_{2} & + 11.92 x_{10} & -10.89 x_{13} & +  1.49 x_{14} & +  3.07 x_{15}\\
 x_{29}   &  21.3705532605 & -42.98 x_{7} & -2.88 x_{19} & -0.27 x_{31} & +  1.24 x_{27} & +  3.18 x_{32} & +  1.16 x_{25} & -22.34 x_{11} & + 45.31 x_{8} & +  1.08 x_{16} & -2.72 x_{28} & -38.93 x_{2} & + 33.64 x_{10} & + 24.81 x_{13} & -39.13 x_{14} & -2.55 x_{15}\\
 x_{30}   &  60.2634274389 & -34.16 x_{7} & -1.96 x_{19} & -1.06 x_{31} & +  0.38 x_{27} & +  2.23 x_{32} & +  0.82 x_{25} & -15.54 x_{11} & + 13.06 x_{8} & +  0.77 x_{16} & -2.61 x_{28} & -33.45 x_{2} & + 21.39 x_{10} & +  8.58 x_{13} & -33.26 x_{14} & -4.92 x_{15}\\
 x_{3}   &  0.382299045428 & -0.37 x_{7} & -0.04 x_{19} & +  0.03 x_{31} & +  0.02 x_{27} & +  0.05 x_{32} & -0.00 x_{25} & -0.27 x_{11} & +  0.94 x_{8} & +  0.04 x_{16} & +  0.00 x_{28} & -0.05 x_{2} & +  0.23 x_{10} & -0.05 x_{13} & +  0.07 x_{14} & +  0.20 x_{15}\\
 x_{12}   &  1.38209851106 & +  0.28 x_{7} & -0.01 x_{19} & -0.01 x_{31} & -0.03 x_{27} & +  0.02 x_{32} & -0.07 x_{25} & -0.20 x_{11} & -0.48 x_{8} & -0.04 x_{16} & -0.02 x_{28} & -0.22 x_{2} & +  0.36 x_{10} & -0.71 x_{13} & -0.73 x_{14} & -0.11 x_{15}\\
\hline
z    &  12.5650932365 & +  0.47 x_{7} & -0.50 x_{19} & -0.19 x_{31} & -0.11 x_{27} & -0.10 x_{32} & -0.23 x_{25} & -6.67 x_{11} & -12.64 x_{8} & -0.65 x_{16} & -0.30 x_{28} & -8.37 x_{2} & +  4.49 x_{10} & -7.68 x_{13} & -8.08 x_{14} & +  1.26 x_{15}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  0.0598664154413 & -0.50 x_{1} & -0.01 x_{19} & -0.02 x_{31} & +  0.02 x_{27} & +  0.05 x_{32} & +  0.01 x_{25} & -0.16 x_{11} & +  1.00 x_{8} & +  0.05 x_{16} & -0.06 x_{28} & +  0.19 x_{2} & +  0.85 x_{10} & +  0.55 x_{13} & -0.38 x_{14} & -0.23 x_{15}\\
 x_{17}   &  41.6306755979 & +  3.30 x_{1} & -0.57 x_{19} & -0.23 x_{31} & -0.71 x_{27} & -0.27 x_{32} & -0.17 x_{25} & +  4.22 x_{11} & -18.65 x_{8} & -0.47 x_{16} & -0.10 x_{28} & -11.38 x_{2} & -5.32 x_{10} & -0.92 x_{13} & -16.61 x_{14} & -0.55 x_{15}\\
 x_{18}   &  14.7511484029 & -13.97 x_{1} & +  2.42 x_{19} & -0.32 x_{31} & -0.40 x_{27} & -2.24 x_{32} & -0.06 x_{25} & + 28.68 x_{11} & -12.43 x_{8} & +  0.44 x_{16} & +  1.31 x_{28} & + 21.13 x_{2} & -11.59 x_{10} & -1.84 x_{13} & + 28.36 x_{14} & -17.10 x_{15}\\
 x_{9}   &  3.23541536418 & -0.30 x_{1} & -0.11 x_{19} & +  0.01 x_{31} & +  0.06 x_{27} & +  0.05 x_{32} & -0.01 x_{25} & -1.36 x_{11} & +  0.35 x_{8} & -0.02 x_{16} & -0.08 x_{28} & -0.78 x_{2} & +  1.15 x_{10} & +  0.37 x_{13} & -1.14 x_{14} & +  0.13 x_{15}\\
 x_{20}   &  32.550396514 & -5.28 x_{1} & +  0.43 x_{19} & +  0.16 x_{31} & +  0.06 x_{27} & +  0.17 x_{32} & +  0.17 x_{25} & -10.01 x_{11} & + 10.44 x_{8} & +  0.14 x_{16} & +  0.20 x_{28} & +  1.85 x_{2} & -7.57 x_{10} & +  4.20 x_{13} & -3.65 x_{14} & -3.74 x_{15}\\
 x_{5}   &  2.49317921784 & +  0.09 x_{1} & -0.03 x_{19} & +  0.04 x_{31} & +  0.05 x_{27} & +  0.08 x_{32} & -0.00 x_{25} & -1.43 x_{11} & +  0.96 x_{8} & -0.02 x_{16} & -0.04 x_{28} & -0.12 x_{2} & +  0.70 x_{10} & +  0.28 x_{13} & -0.33 x_{14} & -0.04 x_{15}\\
 x_{21}   &  2.22035759569 & +  4.52 x_{1} & -0.45 x_{19} & +  0.36 x_{31} & +  0.85 x_{27} & +  0.98 x_{32} & +  0.26 x_{25} & -15.09 x_{11} & + 16.68 x_{8} & +  0.67 x_{16} & -0.13 x_{28} & +  5.88 x_{2} & -1.10 x_{10} & -4.49 x_{13} & -5.49 x_{14} & +  6.50 x_{15}\\
 x_{23}   &  27.954681599 & -0.16 x_{1} & -0.20 x_{19} & -0.59 x_{31} & +  0.23 x_{27} & +  0.51 x_{32} & -0.33 x_{25} & +  2.19 x_{11} & -2.61 x_{8} & -0.22 x_{16} & -0.00 x_{28} & -10.36 x_{2} & +  2.29 x_{10} & -5.05 x_{13} & -3.61 x_{14} & -9.70 x_{15}\\
 x_{24}   &  28.865908004 & +  0.92 x_{1} & -0.84 x_{19} & -0.80 x_{31} & -0.25 x_{27} & +  0.57 x_{32} & +  0.16 x_{25} & +  2.56 x_{11} & -10.06 x_{8} & -0.07 x_{16} & -0.63 x_{28} & -23.42 x_{2} & -0.14 x_{10} & -2.71 x_{13} & -15.48 x_{14} & -2.97 x_{15}\\
 x_{6}   &  0.556289829708 & -0.96 x_{1} & +  0.07 x_{19} & +  0.04 x_{31} & +  0.01 x_{27} & -0.06 x_{32} & -0.04 x_{25} & -0.19 x_{11} & +  0.45 x_{8} & +  0.06 x_{16} & -0.03 x_{28} & +  1.72 x_{2} & +  0.86 x_{10} & +  0.43 x_{13} & +  0.81 x_{14} & -0.63 x_{15}\\
 x_{26}   &  22.681310242 & -6.97 x_{1} & +  0.39 x_{19} & +  1.09 x_{31} & +  0.41 x_{27} & -0.02 x_{32} & -0.12 x_{25} & -11.28 x_{11} & +  1.65 x_{8} & -0.02 x_{16} & +  0.29 x_{28} & + 11.76 x_{2} & +  8.05 x_{10} & +  9.13 x_{13} & + 10.23 x_{14} & -7.04 x_{15}\\
 x_{4}   &  1.5361827754 & -0.47 x_{1} & +  0.12 x_{19} & -0.02 x_{31} & +  0.00 x_{27} & -0.08 x_{32} & -0.06 x_{25} & +  0.86 x_{11} & -0.10 x_{8} & +  0.04 x_{16} & +  0.07 x_{28} & +  1.88 x_{2} & +  0.16 x_{10} & -0.40 x_{13} & +  1.89 x_{14} & -0.78 x_{15}\\
 x_{22}   &  19.0165355324 & -13.43 x_{1} & -0.65 x_{19} & +  0.52 x_{31} & +  0.92 x_{27} & +  0.91 x_{32} & -0.95 x_{25} & -26.70 x_{11} & + 13.30 x_{8} & -0.07 x_{16} & -1.31 x_{28} & +  0.59 x_{2} & + 34.91 x_{10} & +  4.05 x_{13} & -8.84 x_{14} & -3.14 x_{15}\\
 x_{29}   &  18.7973093776 & + 21.30 x_{1} & -2.52 x_{19} & +  0.40 x_{31} & +  0.31 x_{27} & +  1.20 x_{32} & +  0.70 x_{25} & -15.25 x_{11} & +  2.12 x_{8} & -1.29 x_{16} & -0.05 x_{28} & -47.14 x_{2} & -2.83 x_{10} & +  1.12 x_{13} & -22.75 x_{14} & +  7.29 x_{15}\\
 x_{30}   &  58.2181953938 & + 16.93 x_{1} & -1.67 x_{19} & -0.52 x_{31} & -0.37 x_{27} & +  0.66 x_{32} & +  0.46 x_{25} & -9.91 x_{11} & -21.27 x_{8} & -1.11 x_{16} & -0.49 x_{28} & -39.98 x_{2} & -7.60 x_{10} & -10.26 x_{13} & -20.24 x_{14} & +  2.90 x_{15}\\
 x_{3}   &  0.360397252054 & +  0.18 x_{1} & -0.04 x_{19} & +  0.04 x_{31} & +  0.01 x_{27} & +  0.04 x_{32} & -0.01 x_{25} & -0.21 x_{11} & +  0.57 x_{8} & +  0.02 x_{16} & +  0.03 x_{28} & -0.12 x_{2} & -0.08 x_{10} & -0.26 x_{13} & +  0.21 x_{14} & +  0.29 x_{15}\\
 x_{12}   &  1.39914458488 & -0.14 x_{1} & -0.01 x_{19} & -0.01 x_{31} & -0.02 x_{27} & +  0.03 x_{32} & -0.06 x_{25} & -0.25 x_{11} & -0.19 x_{8} & -0.02 x_{16} & -0.04 x_{28} & -0.16 x_{2} & +  0.60 x_{10} & -0.55 x_{13} & -0.84 x_{14} & -0.17 x_{15}\\
\hline
z    &  12.5935057821 & -0.24 x_{1} & -0.50 x_{19} & -0.20 x_{31} & -0.10 x_{27} & -0.08 x_{32} & -0.23 x_{25} & -6.75 x_{11} & -12.16 x_{8} & -0.62 x_{16} & -0.33 x_{28} & -8.28 x_{2} & +  4.89 x_{10} & -7.41 x_{13} & -8.26 x_{14} & +  1.15 x_{15}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{18} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  1.13941506049 & -1.52 x_{1} & +  0.17 x_{19} & -0.04 x_{31} & -0.01 x_{27} & -0.12 x_{32} & +  0.01 x_{25} & +  1.93 x_{11} & +  0.10 x_{8} & +  0.09 x_{16} & +  0.03 x_{28} & +  1.74 x_{2} & -0.07 x_{18} & +  0.42 x_{13} & +  1.69 x_{14} & -1.48 x_{15}\\
 x_{17}   &  34.8649515727 & +  9.70 x_{1} & -1.68 x_{19} & -0.08 x_{31} & -0.52 x_{27} & +  0.75 x_{32} & -0.14 x_{25} & -8.93 x_{11} & -12.95 x_{8} & -0.67 x_{16} & -0.70 x_{28} & -21.07 x_{2} & +  0.46 x_{18} & -0.08 x_{13} & -29.62 x_{14} & +  7.29 x_{15}\\
 x_{10}   &  1.27230825794 & -1.20 x_{1} & +  0.21 x_{19} & -0.03 x_{31} & -0.03 x_{27} & -0.19 x_{32} & -0.00 x_{25} & +  2.47 x_{11} & -1.07 x_{8} & +  0.04 x_{16} & +  0.11 x_{28} & +  1.82 x_{2} & -0.09 x_{18} & -0.16 x_{13} & +  2.45 x_{14} & -1.47 x_{15}\\
 x_{9}   &  4.69253994339 & -1.68 x_{1} & +  0.13 x_{19} & -0.02 x_{31} & +  0.02 x_{27} & -0.17 x_{32} & -0.02 x_{25} & +  1.47 x_{11} & -0.87 x_{8} & +  0.02 x_{16} & +  0.05 x_{28} & +  1.31 x_{2} & -0.10 x_{18} & +  0.19 x_{13} & +  1.66 x_{14} & -1.56 x_{15}\\
 x_{20}   &  22.9154943812 & +  3.84 x_{1} & -1.15 x_{19} & +  0.37 x_{31} & +  0.32 x_{27} & +  1.63 x_{32} & +  0.21 x_{25} & -28.74 x_{11} & + 18.56 x_{8} & -0.15 x_{16} & -0.66 x_{28} & -11.95 x_{2} & +  0.65 x_{18} & +  5.40 x_{13} & -22.18 x_{14} & +  7.43 x_{15}\\
 x_{5}   &  3.3860784484 & -0.76 x_{1} & +  0.12 x_{19} & +  0.02 x_{31} & +  0.03 x_{27} & -0.05 x_{32} & -0.01 x_{25} & +  0.31 x_{11} & +  0.21 x_{8} & +  0.01 x_{16} & +  0.04 x_{28} & +  1.16 x_{2} & -0.06 x_{18} & +  0.17 x_{13} & +  1.39 x_{14} & -1.07 x_{15}\\
 x_{21}   &  0.819758920751 & +  5.84 x_{1} & -0.68 x_{19} & +  0.39 x_{31} & +  0.89 x_{27} & +  1.19 x_{32} & +  0.26 x_{25} & -17.82 x_{11} & + 17.86 x_{8} & +  0.63 x_{16} & -0.26 x_{28} & +  3.87 x_{2} & +  0.09 x_{18} & -4.32 x_{13} & -8.18 x_{14} & +  8.12 x_{15}\\
 x_{23}   &  30.8734314619 & -2.93 x_{1} & +  0.28 x_{19} & -0.65 x_{31} & +  0.15 x_{27} & +  0.07 x_{32} & -0.34 x_{25} & +  7.86 x_{11} & -5.07 x_{8} & -0.13 x_{16} & +  0.26 x_{28} & -6.18 x_{2} & -0.20 x_{18} & -5.41 x_{13} & +  2.00 x_{14} & -13.08 x_{15}\\
 x_{24}   &  28.6891367941 & +  1.08 x_{1} & -0.87 x_{19} & -0.79 x_{31} & -0.25 x_{27} & +  0.59 x_{32} & +  0.16 x_{25} & +  2.21 x_{11} & -9.91 x_{8} & -0.08 x_{16} & -0.65 x_{28} & -23.67 x_{2} & +  0.01 x_{18} & -2.69 x_{13} & -15.82 x_{14} & -2.77 x_{15}\\
 x_{6}   &  1.64823791945 & -1.99 x_{1} & +  0.25 x_{19} & +  0.02 x_{31} & -0.02 x_{27} & -0.22 x_{32} & -0.04 x_{25} & +  1.93 x_{11} & -0.47 x_{8} & +  0.09 x_{16} & +  0.07 x_{28} & +  3.29 x_{2} & -0.07 x_{18} & +  0.29 x_{13} & +  2.91 x_{14} & -1.90 x_{15}\\
 x_{26}   &  32.9188605059 & -16.66 x_{1} & +  2.07 x_{19} & +  0.87 x_{31} & +  0.14 x_{27} & -1.57 x_{32} & -0.15 x_{25} & +  8.63 x_{11} & -6.97 x_{8} & +  0.29 x_{16} & +  1.20 x_{28} & + 26.43 x_{2} & -0.69 x_{18} & +  7.86 x_{13} & + 29.91 x_{14} & -18.91 x_{15}\\
 x_{4}   &  1.74321610889 & -0.67 x_{1} & +  0.15 x_{19} & -0.02 x_{31} & -0.00 x_{27} & -0.12 x_{32} & -0.06 x_{25} & +  1.26 x_{11} & -0.27 x_{8} & +  0.05 x_{16} & +  0.09 x_{28} & +  2.17 x_{2} & -0.01 x_{18} & -0.43 x_{13} & +  2.28 x_{14} & -1.02 x_{15}\\
 x_{22}   &  63.439054408 & -55.49 x_{1} & +  6.64 x_{19} & -0.45 x_{31} & -0.28 x_{27} & -5.82 x_{32} & -1.11 x_{25} & + 59.66 x_{11} & -24.12 x_{8} & +  1.25 x_{16} & +  2.64 x_{28} & + 64.23 x_{2} & -3.01 x_{18} & -1.48 x_{13} & + 76.57 x_{14} & -54.64 x_{15}\\
 x_{29}   &  15.1973037215 & + 24.71 x_{1} & -3.11 x_{19} & +  0.48 x_{31} & +  0.41 x_{27} & +  1.75 x_{32} & +  0.72 x_{25} & -22.25 x_{11} & +  5.15 x_{8} & -1.39 x_{16} & -0.37 x_{28} & -52.30 x_{2} & +  0.24 x_{18} & +  1.57 x_{13} & -29.67 x_{14} & + 11.47 x_{15}\\
 x_{30}   &  48.5547652742 & + 26.08 x_{1} & -3.25 x_{19} & -0.31 x_{31} & -0.10 x_{27} & +  2.12 x_{32} & +  0.50 x_{25} & -28.70 x_{11} & -13.13 x_{8} & -1.39 x_{16} & -1.35 x_{28} & -53.82 x_{2} & +  0.66 x_{18} & -9.05 x_{13} & -38.82 x_{14} & + 14.11 x_{15}\\
 x_{3}   &  0.252297557522 & +  0.28 x_{1} & -0.05 x_{19} & +  0.04 x_{31} & +  0.01 x_{27} & +  0.05 x_{32} & -0.01 x_{25} & -0.42 x_{11} & +  0.66 x_{8} & +  0.01 x_{16} & +  0.02 x_{28} & -0.28 x_{2} & +  0.01 x_{18} & -0.24 x_{13} & +  0.01 x_{14} & +  0.41 x_{15}\\
 x_{12}   &  2.16503595731 & -0.87 x_{1} & +  0.11 x_{19} & -0.03 x_{31} & -0.05 x_{27} & -0.09 x_{32} & -0.07 x_{25} & +  1.24 x_{11} & -0.84 x_{8} & +  0.00 x_{16} & +  0.03 x_{28} & +  0.94 x_{2} & -0.05 x_{18} & -0.65 x_{13} & +  0.64 x_{14} & -1.06 x_{15}\\
\hline
z    &  18.8175943049 & -6.13 x_{1} & +  0.52 x_{19} & -0.34 x_{31} & -0.27 x_{27} & -1.02 x_{32} & -0.25 x_{25} & +  5.35 x_{11} & -17.40 x_{8} & -0.44 x_{16} & +  0.22 x_{28} & +  0.63 x_{2} & -0.42 x_{18} & -8.19 x_{13} & +  3.71 x_{14} & -6.06 x_{15}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{29} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  1.64431527354 & -0.70 x_{1} & +  0.07 x_{19} & -0.02 x_{31} & +  0.01 x_{27} & -0.06 x_{32} & +  0.03 x_{25} & +  1.19 x_{11} & +  0.27 x_{8} & +  0.04 x_{16} & +  0.02 x_{28} & -0.03 x_{29} & -0.07 x_{18} & +  0.47 x_{13} & +  0.71 x_{14} & -1.10 x_{15}\\
 x_{17}   &  28.742999996 & -0.25 x_{1} & -0.43 x_{19} & -0.28 x_{31} & -0.69 x_{27} & +  0.05 x_{32} & -0.43 x_{25} & +  0.03 x_{11} & -15.02 x_{8} & -0.11 x_{16} & -0.55 x_{28} & +  0.40 x_{29} & +  0.36 x_{18} & -0.71 x_{13} & -17.67 x_{14} & +  2.67 x_{15}\\
 x_{10}   &  1.80194964204 & -0.34 x_{1} & +  0.10 x_{19} & -0.01 x_{31} & -0.02 x_{27} & -0.13 x_{32} & +  0.02 x_{25} & +  1.70 x_{11} & -0.89 x_{8} & -0.01 x_{16} & +  0.10 x_{28} & -0.03 x_{29} & -0.08 x_{18} & -0.10 x_{13} & +  1.41 x_{14} & -1.08 x_{15}\\
 x_{9}   &  5.07176842162 & -1.06 x_{1} & +  0.05 x_{19} & -0.01 x_{31} & +  0.03 x_{27} & -0.13 x_{32} & +  0.00 x_{25} & +  0.92 x_{11} & -0.75 x_{8} & -0.02 x_{16} & +  0.04 x_{28} & -0.02 x_{29} & -0.09 x_{18} & +  0.23 x_{13} & +  0.92 x_{14} & -1.27 x_{15}\\
 x_{20}   &  19.4420233785 & -1.80 x_{1} & -0.45 x_{19} & +  0.26 x_{31} & +  0.22 x_{27} & +  1.23 x_{32} & +  0.04 x_{25} & -23.65 x_{11} & + 17.38 x_{8} & +  0.17 x_{16} & -0.58 x_{28} & +  0.23 x_{29} & +  0.60 x_{18} & +  5.04 x_{13} & -15.40 x_{14} & +  4.81 x_{15}\\
 x_{5}   &  3.72419855247 & -0.21 x_{1} & +  0.05 x_{19} & +  0.04 x_{31} & +  0.04 x_{27} & -0.01 x_{32} & +  0.01 x_{25} & -0.19 x_{11} & +  0.33 x_{8} & -0.02 x_{16} & +  0.03 x_{28} & -0.02 x_{29} & -0.06 x_{18} & +  0.20 x_{13} & +  0.73 x_{14} & -0.82 x_{15}\\
 x_{21}   &  1.94501117272 & +  7.67 x_{1} & -0.91 x_{19} & +  0.42 x_{31} & +  0.92 x_{27} & +  1.32 x_{32} & +  0.32 x_{25} & -19.46 x_{11} & + 18.24 x_{8} & +  0.53 x_{16} & -0.29 x_{28} & -0.07 x_{29} & +  0.11 x_{18} & -4.20 x_{13} & -10.38 x_{14} & +  8.97 x_{15}\\
 x_{23}   &  29.0789775498 & -5.85 x_{1} & +  0.64 x_{19} & -0.71 x_{31} & +  0.10 x_{27} & -0.14 x_{32} & -0.43 x_{25} & + 10.49 x_{11} & -5.68 x_{8} & +  0.03 x_{16} & +  0.30 x_{28} & +  0.12 x_{29} & -0.23 x_{18} & -5.59 x_{13} & +  5.51 x_{14} & -14.43 x_{15}\\
 x_{24}   &  21.8099110245 & -10.10 x_{1} & +  0.54 x_{19} & -1.01 x_{31} & -0.43 x_{27} & -0.20 x_{32} & -0.16 x_{25} & + 12.28 x_{11} & -12.24 x_{8} & +  0.55 x_{16} & -0.48 x_{28} & +  0.45 x_{29} & -0.10 x_{18} & -3.40 x_{13} & -2.39 x_{14} & -7.96 x_{15}\\
 x_{6}   &  2.60337364602 & -0.44 x_{1} & +  0.05 x_{19} & +  0.05 x_{31} & +  0.00 x_{27} & -0.11 x_{32} & +  0.01 x_{25} & +  0.54 x_{11} & -0.14 x_{8} & +  0.01 x_{16} & +  0.05 x_{28} & -0.06 x_{29} & -0.06 x_{18} & +  0.39 x_{13} & +  1.05 x_{14} & -1.18 x_{15}\\
 x_{26}   &  40.5980353866 & -4.18 x_{1} & +  0.50 x_{19} & +  1.11 x_{31} & +  0.34 x_{27} & -0.69 x_{32} & +  0.21 x_{25} & -2.62 x_{11} & -4.37 x_{8} & -0.42 x_{16} & +  1.01 x_{28} & -0.51 x_{29} & -0.57 x_{18} & +  8.65 x_{13} & + 14.92 x_{14} & -13.12 x_{15}\\
 x_{4}   &  2.37501646376 & +  0.36 x_{1} & +  0.02 x_{19} & -0.00 x_{31} & +  0.01 x_{27} & -0.04 x_{32} & -0.03 x_{25} & +  0.34 x_{11} & -0.06 x_{8} & -0.01 x_{16} & +  0.07 x_{28} & -0.04 x_{29} & -0.00 x_{18} & -0.36 x_{13} & +  1.05 x_{14} & -0.54 x_{15}\\
 x_{22}   &  82.1039154391 & -25.14 x_{1} & +  2.82 x_{19} & +  0.14 x_{31} & +  0.22 x_{27} & -3.67 x_{32} & -0.24 x_{25} & + 32.34 x_{11} & -17.80 x_{8} & -0.46 x_{16} & +  2.18 x_{28} & -1.23 x_{29} & -2.71 x_{18} & +  0.44 x_{13} & + 40.13 x_{14} & -40.56 x_{15}\\
 x_{2}   &  0.290587162291 & +  0.47 x_{1} & -0.06 x_{19} & +  0.01 x_{31} & +  0.01 x_{27} & +  0.03 x_{32} & +  0.01 x_{25} & -0.43 x_{11} & +  0.10 x_{8} & -0.03 x_{16} & -0.01 x_{28} & -0.02 x_{29} & +  0.00 x_{18} & +  0.03 x_{13} & -0.57 x_{14} & +  0.22 x_{15}\\
 x_{30}   &  32.9149015684 & +  0.65 x_{1} & -0.06 x_{19} & -0.81 x_{31} & -0.52 x_{27} & +  0.32 x_{32} & -0.24 x_{25} & -5.80 x_{11} & -18.43 x_{8} & +  0.04 x_{16} & -0.97 x_{28} & +  1.03 x_{29} & +  0.40 x_{18} & -10.66 x_{13} & -8.28 x_{14} & +  2.31 x_{15}\\
 x_{3}   &  0.172314208754 & +  0.15 x_{1} & -0.04 x_{19} & +  0.04 x_{31} & +  0.01 x_{27} & +  0.04 x_{32} & -0.01 x_{25} & -0.30 x_{11} & +  0.63 x_{8} & +  0.02 x_{16} & +  0.02 x_{28} & +  0.01 x_{29} & +  0.01 x_{18} & -0.25 x_{13} & +  0.16 x_{14} & +  0.35 x_{15}\\
 x_{12}   &  2.43676000726 & -0.42 x_{1} & +  0.06 x_{19} & -0.02 x_{31} & -0.04 x_{27} & -0.05 x_{32} & -0.05 x_{25} & +  0.84 x_{11} & -0.74 x_{8} & -0.02 x_{16} & +  0.02 x_{28} & -0.02 x_{29} & -0.05 x_{18} & -0.62 x_{13} & +  0.11 x_{14} & -0.86 x_{15}\\
\hline
z    &  19.0017964371 & -5.83 x_{1} & +  0.48 x_{19} & -0.33 x_{31} & -0.26 x_{27} & -1.00 x_{32} & -0.24 x_{25} & +  5.08 x_{11} & -17.34 x_{8} & -0.45 x_{16} & +  0.22 x_{28} & -0.01 x_{29} & -0.42 x_{18} & -8.17 x_{13} & +  3.35 x_{14} & -5.92 x_{15}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  1.76369801326 & -0.23 x_{1} & +  0.01 x_{19} & +  0.00 x_{31} & +  0.06 x_{27} & +  0.02 x_{32} & +  0.05 x_{25} & -0.06 x_{21} & +  1.39 x_{8} & +  0.07 x_{16} & +  0.00 x_{28} & -0.04 x_{29} & -0.06 x_{18} & +  0.21 x_{13} & +  0.07 x_{14} & -0.55 x_{15}\\
 x_{17}   &  28.7462784265 & -0.24 x_{1} & -0.43 x_{19} & -0.27 x_{31} & -0.69 x_{27} & +  0.05 x_{32} & -0.43 x_{25} & -0.00 x_{21} & -14.99 x_{8} & -0.11 x_{16} & -0.55 x_{28} & +  0.40 x_{29} & +  0.36 x_{18} & -0.72 x_{13} & -17.68 x_{14} & +  2.69 x_{15}\\
 x_{10}   &  1.97164451248 & +  0.33 x_{1} & +  0.02 x_{19} & +  0.03 x_{31} & +  0.06 x_{27} & -0.02 x_{32} & +  0.05 x_{25} & -0.09 x_{21} & +  0.70 x_{8} & +  0.04 x_{16} & +  0.08 x_{28} & -0.04 x_{29} & -0.07 x_{18} & -0.47 x_{13} & +  0.51 x_{14} & -0.29 x_{15}\\
 x_{9}   &  5.16347094229 & -0.70 x_{1} & +  0.01 x_{19} & +  0.01 x_{31} & +  0.07 x_{27} & -0.07 x_{32} & +  0.02 x_{25} & -0.05 x_{21} & +  0.11 x_{8} & +  0.01 x_{16} & +  0.03 x_{28} & -0.03 x_{29} & -0.09 x_{18} & +  0.03 x_{13} & +  0.43 x_{14} & -0.85 x_{15}\\
 x_{20}   &  17.0783498365 & -11.13 x_{1} & +  0.66 x_{19} & -0.26 x_{31} & -0.89 x_{27} & -0.37 x_{32} & -0.34 x_{25} & +  1.22 x_{21} & -4.79 x_{8} & -0.47 x_{16} & -0.23 x_{28} & +  0.32 x_{29} & +  0.46 x_{18} & + 10.15 x_{13} & -2.78 x_{14} & -6.09 x_{15}\\
 x_{5}   &  3.70540680884 & -0.28 x_{1} & +  0.06 x_{19} & +  0.03 x_{31} & +  0.03 x_{27} & -0.03 x_{32} & +  0.01 x_{25} & +  0.01 x_{21} & +  0.15 x_{8} & -0.03 x_{16} & +  0.03 x_{28} & -0.02 x_{29} & -0.06 x_{18} & +  0.25 x_{13} & +  0.83 x_{14} & -0.91 x_{15}\\
 x_{11}   &  0.0999305695158 & +  0.39 x_{1} & -0.05 x_{19} & +  0.02 x_{31} & +  0.05 x_{27} & +  0.07 x_{32} & +  0.02 x_{25} & -0.05 x_{21} & +  0.94 x_{8} & +  0.03 x_{16} & -0.01 x_{28} & -0.00 x_{29} & +  0.01 x_{18} & -0.22 x_{13} & -0.53 x_{14} & +  0.46 x_{15}\\
 x_{23}   &  30.1274252331 & -1.71 x_{1} & +  0.15 x_{19} & -0.48 x_{31} & +  0.60 x_{27} & +  0.57 x_{32} & -0.26 x_{25} & -0.54 x_{21} & +  4.16 x_{8} & +  0.32 x_{16} & +  0.15 x_{28} & +  0.08 x_{29} & -0.17 x_{18} & -7.86 x_{13} & -0.09 x_{14} & -9.60 x_{15}\\
 x_{24}   &  23.0373725678 & -5.26 x_{1} & -0.04 x_{19} & -0.74 x_{31} & +  0.15 x_{27} & +  0.64 x_{32} & +  0.04 x_{25} & -0.63 x_{21} & -0.73 x_{8} & +  0.88 x_{16} & -0.66 x_{28} & +  0.41 x_{29} & -0.03 x_{18} & -6.05 x_{13} & -8.93 x_{14} & -2.29 x_{15}\\
 x_{6}   &  2.65700136604 & -0.23 x_{1} & +  0.03 x_{19} & +  0.06 x_{31} & +  0.03 x_{27} & -0.08 x_{32} & +  0.01 x_{25} & -0.03 x_{21} & +  0.36 x_{8} & +  0.02 x_{16} & +  0.04 x_{28} & -0.06 x_{29} & -0.06 x_{18} & +  0.28 x_{13} & +  0.76 x_{14} & -0.93 x_{15}\\
 x_{26}   &  40.336668132 & -5.21 x_{1} & +  0.63 x_{19} & +  1.06 x_{31} & +  0.22 x_{27} & -0.86 x_{32} & +  0.17 x_{25} & +  0.13 x_{21} & -6.82 x_{8} & -0.49 x_{16} & +  1.05 x_{28} & -0.50 x_{29} & -0.59 x_{18} & +  9.22 x_{13} & + 16.32 x_{14} & -14.32 x_{15}\\
 x_{4}   &  2.40863562731 & +  0.49 x_{1} & +  0.01 x_{19} & +  0.00 x_{31} & +  0.03 x_{27} & -0.02 x_{32} & -0.02 x_{25} & -0.02 x_{21} & +  0.26 x_{8} & -0.00 x_{16} & +  0.07 x_{28} & -0.04 x_{29} & -0.00 x_{18} & -0.44 x_{13} & +  0.87 x_{14} & -0.39 x_{15}\\
 x_{22}   &  85.3352322543 & -12.40 x_{1} & +  1.31 x_{19} & +  0.85 x_{31} & +  1.75 x_{27} & -1.48 x_{32} & +  0.29 x_{25} & -1.66 x_{21} & + 12.51 x_{8} & +  0.42 x_{16} & +  1.71 x_{28} & -1.35 x_{29} & -2.52 x_{18} & -6.54 x_{13} & + 22.89 x_{14} & -25.65 x_{15}\\
 x_{2}   &  0.248077940611 & +  0.30 x_{1} & -0.04 x_{19} & -0.00 x_{31} & -0.01 x_{27} & +  0.00 x_{32} & +  0.01 x_{25} & +  0.02 x_{21} & -0.30 x_{8} & -0.04 x_{16} & -0.00 x_{28} & -0.02 x_{29} & +  0.00 x_{18} & +  0.12 x_{13} & -0.34 x_{14} & +  0.02 x_{15}\\
 x_{30}   &  32.3352561995 & -1.64 x_{1} & +  0.21 x_{19} & -0.94 x_{31} & -0.80 x_{27} & -0.07 x_{32} & -0.33 x_{25} & +  0.30 x_{21} & -23.86 x_{8} & -0.12 x_{16} & -0.88 x_{28} & +  1.05 x_{29} & +  0.37 x_{18} & -9.41 x_{13} & -5.19 x_{14} & -0.37 x_{15}\\
 x_{3}   &  0.142153847604 & +  0.03 x_{1} & -0.02 x_{19} & +  0.03 x_{31} & -0.00 x_{27} & +  0.02 x_{32} & -0.02 x_{25} & +  0.02 x_{21} & +  0.35 x_{8} & +  0.01 x_{16} & +  0.02 x_{28} & +  0.01 x_{29} & +  0.00 x_{18} & -0.19 x_{13} & +  0.32 x_{14} & +  0.21 x_{15}\\
 x_{12}   &  2.52067168533 & -0.09 x_{1} & +  0.02 x_{19} & -0.00 x_{31} & +  0.00 x_{27} & +  0.00 x_{32} & -0.04 x_{25} & -0.04 x_{21} & +  0.04 x_{8} & +  0.00 x_{16} & +  0.01 x_{28} & -0.02 x_{29} & -0.04 x_{18} & -0.80 x_{13} & -0.34 x_{14} & -0.47 x_{15}\\
\hline
z    &  19.5094733664 & -3.83 x_{1} & +  0.24 x_{19} & -0.22 x_{31} & -0.02 x_{27} & -0.66 x_{32} & -0.16 x_{25} & -0.26 x_{21} & -12.58 x_{8} & -0.32 x_{16} & +  0.14 x_{28} & -0.03 x_{29} & -0.39 x_{18} & -9.27 x_{13} & +  0.64 x_{14} & -3.58 x_{15}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  1.77715180482 & -0.17 x_{1} & +  0.00 x_{19} & +  0.01 x_{31} & +  0.07 x_{27} & +  0.03 x_{32} & +  0.05 x_{25} & -0.07 x_{21} & +  1.51 x_{8} & +  0.08 x_{16} & +  0.00 x_{28} & -0.04 x_{29} & -0.06 x_{18} & +  0.18 x_{13} & -0.13 x_{11} & -0.49 x_{15}\\
 x_{17}   &  25.4319029485 & -13.31 x_{1} & +  1.12 x_{19} & -1.00 x_{31} & -2.25 x_{27} & -2.20 x_{32} & -0.97 x_{25} & +  1.70 x_{21} & -46.08 x_{8} & -1.01 x_{16} & -0.06 x_{28} & +  0.53 x_{29} & +  0.17 x_{18} & +  6.45 x_{13} & + 33.17 x_{11} & -12.60 x_{15}\\
 x_{10}   &  2.06660990674 & +  0.70 x_{1} & -0.02 x_{19} & +  0.05 x_{31} & +  0.10 x_{27} & +  0.05 x_{32} & +  0.06 x_{25} & -0.14 x_{21} & +  1.59 x_{8} & +  0.06 x_{16} & +  0.06 x_{28} & -0.04 x_{29} & -0.06 x_{18} & -0.68 x_{13} & -0.95 x_{11} & +  0.15 x_{15}\\
 x_{9}   &  5.24399455573 & -0.38 x_{1} & -0.03 x_{19} & +  0.03 x_{31} & +  0.11 x_{27} & -0.01 x_{32} & +  0.03 x_{25} & -0.09 x_{21} & +  0.87 x_{8} & +  0.03 x_{16} & +  0.02 x_{28} & -0.03 x_{29} & -0.08 x_{18} & -0.14 x_{13} & -0.81 x_{11} & -0.48 x_{15}\\
 x_{20}   &  16.5565957325 & -13.18 x_{1} & +  0.90 x_{19} & -0.37 x_{31} & -1.14 x_{27} & -0.72 x_{32} & -0.43 x_{25} & +  1.48 x_{21} & -9.68 x_{8} & -0.62 x_{16} & -0.15 x_{28} & +  0.34 x_{29} & +  0.43 x_{18} & + 11.28 x_{13} & +  5.22 x_{11} & -8.50 x_{15}\\
 x_{5}   &  3.86017133765 & +  0.33 x_{1} & -0.01 x_{19} & +  0.06 x_{31} & +  0.10 x_{27} & +  0.08 x_{32} & +  0.03 x_{25} & -0.07 x_{21} & +  1.60 x_{8} & +  0.02 x_{16} & +  0.01 x_{28} & -0.03 x_{29} & -0.05 x_{18} & -0.09 x_{13} & -1.55 x_{11} & -0.19 x_{15}\\
 x_{14}   &  0.187417128506 & +  0.74 x_{1} & -0.09 x_{19} & +  0.04 x_{31} & +  0.09 x_{27} & +  0.13 x_{32} & +  0.03 x_{25} & -0.10 x_{21} & +  1.76 x_{8} & +  0.05 x_{16} & -0.03 x_{28} & -0.01 x_{29} & +  0.01 x_{18} & -0.41 x_{13} & -1.88 x_{11} & +  0.86 x_{15}\\
 x_{23}   &  30.1107133677 & -1.78 x_{1} & +  0.16 x_{19} & -0.48 x_{31} & +  0.59 x_{27} & +  0.56 x_{32} & -0.26 x_{25} & -0.53 x_{21} & +  4.00 x_{8} & +  0.31 x_{16} & +  0.15 x_{28} & +  0.08 x_{29} & -0.17 x_{18} & -7.82 x_{13} & +  0.17 x_{11} & -9.67 x_{15}\\
 x_{24}   &  21.3628241188 & -11.87 x_{1} & +  0.74 x_{19} & -1.11 x_{31} & -0.65 x_{27} & -0.50 x_{32} & -0.24 x_{25} & +  0.23 x_{21} & -16.44 x_{8} & +  0.43 x_{16} & -0.41 x_{28} & +  0.47 x_{29} & -0.12 x_{18} & -2.43 x_{13} & + 16.76 x_{11} & -10.02 x_{15}\\
 x_{6}   &  2.79990594936 & +  0.34 x_{1} & -0.04 x_{19} & +  0.09 x_{31} & +  0.09 x_{27} & +  0.02 x_{32} & +  0.04 x_{25} & -0.10 x_{21} & +  1.70 x_{8} & +  0.06 x_{16} & +  0.02 x_{28} & -0.07 x_{29} & -0.05 x_{18} & -0.03 x_{13} & -1.43 x_{11} & -0.27 x_{15}\\
 x_{26}   &  43.3949028578 & +  6.85 x_{1} & -0.80 x_{19} & +  1.72 x_{31} & +  1.66 x_{27} & +  1.21 x_{32} & +  0.66 x_{25} & -1.44 x_{21} & + 21.86 x_{8} & +  0.34 x_{16} & +  0.60 x_{28} & -0.61 x_{29} & -0.41 x_{18} & +  2.61 x_{13} & -30.60 x_{11} & -0.22 x_{15}\\
 x_{4}   &  2.57181475445 & +  1.13 x_{1} & -0.07 x_{19} & +  0.04 x_{31} & +  0.11 x_{27} & +  0.09 x_{32} & +  0.00 x_{25} & -0.10 x_{21} & +  1.79 x_{8} & +  0.04 x_{16} & +  0.04 x_{28} & -0.05 x_{29} & +  0.01 x_{18} & -0.79 x_{13} & -1.63 x_{11} & +  0.37 x_{15}\\
 x_{22}   &  89.6246125894 & +  4.52 x_{1} & -0.70 x_{19} & +  1.78 x_{31} & +  3.77 x_{27} & +  1.42 x_{32} & +  0.99 x_{25} & -3.87 x_{21} & + 52.74 x_{8} & +  1.59 x_{16} & +  1.08 x_{28} & -1.51 x_{29} & -2.27 x_{18} & -15.81 x_{13} & -42.92 x_{11} & -5.87 x_{15}\\
 x_{2}   &  0.184266639098 & +  0.05 x_{1} & -0.01 x_{19} & -0.01 x_{31} & -0.04 x_{27} & -0.04 x_{32} & -0.00 x_{25} & +  0.05 x_{21} & -0.90 x_{8} & -0.06 x_{16} & +  0.01 x_{28} & -0.02 x_{29} & -0.00 x_{18} & +  0.26 x_{13} & +  0.64 x_{11} & -0.27 x_{15}\\
 x_{30}   &  31.3625228009 & -5.47 x_{1} & +  0.67 x_{19} & -1.15 x_{31} & -1.26 x_{27} & -0.73 x_{32} & -0.49 x_{25} & +  0.80 x_{21} & -32.99 x_{8} & -0.38 x_{16} & -0.74 x_{28} & +  1.09 x_{29} & +  0.31 x_{18} & -7.31 x_{13} & +  9.73 x_{11} & -4.85 x_{15}\\
 x_{3}   &  0.20279979121 & +  0.27 x_{1} & -0.05 x_{19} & +  0.05 x_{31} & +  0.03 x_{27} & +  0.06 x_{32} & -0.01 x_{25} & -0.02 x_{21} & +  0.92 x_{8} & +  0.03 x_{16} & +  0.01 x_{28} & +  0.00 x_{29} & +  0.01 x_{18} & -0.32 x_{13} & -0.61 x_{11} & +  0.49 x_{15}\\
 x_{12}   &  2.45655150673 & -0.35 x_{1} & +  0.05 x_{19} & -0.02 x_{31} & -0.03 x_{27} & -0.04 x_{32} & -0.05 x_{25} & -0.01 x_{21} & -0.56 x_{8} & -0.02 x_{16} & +  0.02 x_{28} & -0.02 x_{29} & -0.05 x_{18} & -0.66 x_{13} & +  0.64 x_{11} & -0.77 x_{15}\\
\hline
z    &  19.6290214235 & -3.35 x_{1} & +  0.19 x_{19} & -0.19 x_{31} & +  0.03 x_{27} & -0.58 x_{32} & -0.14 x_{25} & -0.32 x_{21} & -11.46 x_{8} & -0.28 x_{16} & +  0.13 x_{28} & -0.04 x_{29} & -0.38 x_{18} & -9.53 x_{13} & -1.20 x_{11} & -3.03 x_{15}\\
\end{array}\]


 $ x_{19} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  1.78416818222 & -0.15 x_{1} & -0.04 x_{14} & +  0.01 x_{31} & +  0.07 x_{27} & +  0.04 x_{32} & +  0.05 x_{25} & -0.07 x_{21} & +  1.58 x_{8} & +  0.08 x_{16} & +  0.00 x_{28} & -0.04 x_{29} & -0.06 x_{18} & +  0.17 x_{13} & -0.20 x_{11} & -0.45 x_{15}\\
 x_{17}   &  27.8239882094 & -3.88 x_{1} & -12.76 x_{14} & -0.48 x_{31} & -1.12 x_{27} & -0.57 x_{32} & -0.58 x_{25} & +  0.47 x_{21} & -23.64 x_{8} & -0.36 x_{16} & -0.42 x_{28} & +  0.44 x_{29} & +  0.31 x_{18} & +  1.28 x_{13} & +  9.23 x_{11} & -1.57 x_{15}\\
 x_{10}   &  2.01663684925 & +  0.50 x_{1} & +  0.27 x_{14} & +  0.04 x_{31} & +  0.08 x_{27} & +  0.01 x_{32} & +  0.06 x_{25} & -0.11 x_{21} & +  1.12 x_{8} & +  0.05 x_{16} & +  0.07 x_{28} & -0.04 x_{29} & -0.07 x_{18} & -0.57 x_{13} & -0.45 x_{11} & -0.09 x_{15}\\
 x_{9}   &  5.18911228911 & -0.60 x_{1} & +  0.29 x_{14} & +  0.02 x_{31} & +  0.08 x_{27} & -0.05 x_{32} & +  0.02 x_{25} & -0.06 x_{21} & +  0.35 x_{8} & +  0.02 x_{16} & +  0.02 x_{28} & -0.03 x_{29} & -0.09 x_{18} & -0.02 x_{13} & -0.26 x_{11} & -0.73 x_{15}\\
 x_{20}   &  18.4905162945 & -5.56 x_{1} & -10.32 x_{14} & +  0.05 x_{31} & -0.22 x_{27} & +  0.59 x_{32} & -0.11 x_{25} & +  0.49 x_{21} & +  8.46 x_{8} & -0.09 x_{16} & -0.44 x_{28} & +  0.26 x_{29} & +  0.54 x_{18} & +  7.10 x_{13} & -14.13 x_{11} & +  0.42 x_{15}\\
 x_{5}   &  3.83471194991 & +  0.23 x_{1} & +  0.14 x_{14} & +  0.06 x_{31} & +  0.09 x_{27} & +  0.06 x_{32} & +  0.03 x_{25} & -0.06 x_{21} & +  1.36 x_{8} & +  0.01 x_{16} & +  0.01 x_{28} & -0.03 x_{29} & -0.05 x_{18} & -0.03 x_{13} & -1.29 x_{11} & -0.31 x_{15}\\
 x_{19}   &  2.13772365256 & +  8.43 x_{1} & -11.41 x_{14} & +  0.47 x_{31} & +  1.01 x_{27} & +  1.45 x_{32} & +  0.35 x_{25} & -1.10 x_{21} & + 20.05 x_{8} & +  0.58 x_{16} & -0.31 x_{28} & -0.08 x_{29} & +  0.12 x_{18} & -4.62 x_{13} & -21.39 x_{11} & +  9.86 x_{15}\\
 x_{23}   &  30.4545372931 & -0.42 x_{1} & -1.83 x_{14} & -0.41 x_{31} & +  0.75 x_{27} & +  0.80 x_{32} & -0.20 x_{25} & -0.71 x_{21} & +  7.22 x_{8} & +  0.41 x_{16} & +  0.10 x_{28} & +  0.07 x_{29} & -0.15 x_{18} & -8.57 x_{13} & -3.27 x_{11} & -8.09 x_{15}\\
 x_{24}   &  22.9538492534 & -5.59 x_{1} & -8.49 x_{14} & -0.76 x_{31} & +  0.11 x_{27} & +  0.58 x_{32} & +  0.02 x_{25} & -0.59 x_{21} & -1.51 x_{8} & +  0.86 x_{16} & -0.65 x_{28} & +  0.41 x_{29} & -0.03 x_{18} & -5.87 x_{13} & +  0.84 x_{11} & -2.68 x_{15}\\
 x_{6}   &  2.72092596726 & +  0.02 x_{1} & +  0.42 x_{14} & +  0.07 x_{31} & +  0.06 x_{27} & -0.03 x_{32} & +  0.02 x_{25} & -0.06 x_{21} & +  0.96 x_{8} & +  0.04 x_{16} & +  0.03 x_{28} & -0.07 x_{29} & -0.05 x_{18} & +  0.14 x_{13} & -0.64 x_{11} & -0.64 x_{15}\\
 x_{26}   &  41.6742171734 & +  0.07 x_{1} & +  9.18 x_{14} & +  1.35 x_{31} & +  0.85 x_{27} & +  0.04 x_{32} & +  0.38 x_{25} & -0.55 x_{21} & +  5.72 x_{8} & -0.12 x_{16} & +  0.85 x_{28} & -0.55 x_{29} & -0.51 x_{18} & +  6.33 x_{13} & -13.38 x_{11} & -8.15 x_{15}\\
 x_{4}   &  2.42365922065 & +  0.55 x_{1} & +  0.79 x_{14} & +  0.01 x_{31} & +  0.04 x_{27} & -0.01 x_{32} & -0.02 x_{25} & -0.03 x_{21} & +  0.40 x_{8} & +  0.00 x_{16} & +  0.07 x_{28} & -0.04 x_{29} & -0.00 x_{18} & -0.47 x_{13} & -0.15 x_{11} & -0.32 x_{15}\\
 x_{22}   &  88.1337295785 & -1.36 x_{1} & +  7.95 x_{14} & +  1.46 x_{31} & +  3.07 x_{27} & +  0.41 x_{32} & +  0.75 x_{25} & -3.10 x_{21} & + 38.76 x_{8} & +  1.18 x_{16} & +  1.30 x_{28} & -1.46 x_{29} & -2.36 x_{18} & -12.59 x_{13} & -28.00 x_{11} & -12.74 x_{15}\\
 x_{2}   &  0.163639581692 & -0.03 x_{1} & +  0.11 x_{14} & -0.02 x_{31} & -0.05 x_{27} & -0.05 x_{32} & -0.01 x_{25} & +  0.07 x_{21} & -1.09 x_{8} & -0.06 x_{16} & +  0.01 x_{28} & -0.01 x_{29} & -0.00 x_{18} & +  0.30 x_{13} & +  0.84 x_{11} & -0.37 x_{15}\\
 x_{30}   &  32.7908849049 & +  0.16 x_{1} & -7.62 x_{14} & -0.84 x_{31} & -0.58 x_{27} & +  0.24 x_{32} & -0.26 x_{25} & +  0.06 x_{21} & -19.59 x_{8} & +  0.00 x_{16} & -0.95 x_{28} & +  1.03 x_{29} & +  0.40 x_{18} & -10.40 x_{13} & -4.56 x_{11} & +  1.74 x_{15}\\
 x_{3}   &  0.0903408531865 & -0.17 x_{1} & +  0.60 x_{14} & +  0.02 x_{31} & -0.03 x_{27} & -0.01 x_{32} & -0.02 x_{25} & +  0.04 x_{21} & -0.13 x_{8} & -0.00 x_{16} & +  0.03 x_{28} & +  0.01 x_{29} & +  0.00 x_{18} & -0.07 x_{13} & +  0.52 x_{11} & -0.02 x_{15}\\
 x_{12}   &  2.55559339102 & +  0.04 x_{1} & -0.53 x_{14} & +  0.01 x_{31} & +  0.02 x_{27} & +  0.03 x_{32} & -0.03 x_{25} & -0.06 x_{21} & +  0.37 x_{8} & +  0.01 x_{16} & +  0.01 x_{28} & -0.02 x_{29} & -0.04 x_{18} & -0.88 x_{13} & -0.35 x_{11} & -0.31 x_{15}\\
\hline
z    &  20.0312912927 & -1.77 x_{1} & -2.15 x_{14} & -0.11 x_{31} & +  0.22 x_{27} & -0.30 x_{32} & -0.07 x_{25} & -0.53 x_{21} & -7.68 x_{8} & -0.17 x_{16} & +  0.07 x_{28} & -0.05 x_{29} & -0.36 x_{18} & -10.40 x_{13} & -5.22 x_{11} & -1.17 x_{15}\\
\end{array}\]


 $ x_{27} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  2.00999306716 & -0.18 x_{1} & +  0.11 x_{14} & -0.02 x_{31} & -1.38 x_{2} & -0.04 x_{32} & +  0.04 x_{25} & +  0.02 x_{21} & +  0.07 x_{8} & -0.01 x_{16} & +  0.02 x_{28} & -0.06 x_{29} & -0.06 x_{18} & +  0.59 x_{13} & +  0.96 x_{11} & -0.96 x_{15}\\
 x_{17}   &  24.3051279644 & -3.27 x_{1} & -15.13 x_{14} & -0.08 x_{31} & + 21.50 x_{2} & +  0.56 x_{32} & -0.43 x_{25} & -0.93 x_{21} & -0.16 x_{8} & +  0.96 x_{16} & -0.67 x_{28} & +  0.75 x_{29} & +  0.37 x_{18} & -5.27 x_{13} & -8.94 x_{11} & +  6.31 x_{15}\\
 x_{10}   &  2.27107064602 & +  0.46 x_{1} & +  0.44 x_{14} & +  0.01 x_{31} & -1.55 x_{2} & -0.07 x_{32} & +  0.04 x_{25} & -0.01 x_{21} & -0.58 x_{8} & -0.05 x_{16} & +  0.09 x_{28} & -0.07 x_{29} & -0.07 x_{18} & -0.09 x_{13} & +  0.86 x_{11} & -0.65 x_{15}\\
 x_{9}   &  5.44664509844 & -0.64 x_{1} & +  0.47 x_{14} & -0.01 x_{31} & -1.57 x_{2} & -0.13 x_{32} & +  0.01 x_{25} & +  0.04 x_{21} & -1.36 x_{8} & -0.08 x_{16} & +  0.04 x_{28} & -0.05 x_{29} & -0.09 x_{18} & +  0.45 x_{13} & +  1.07 x_{11} & -1.31 x_{15}\\
 x_{20}   &  17.7862210228 & -5.44 x_{1} & -10.79 x_{14} & +  0.13 x_{31} & +  4.30 x_{2} & +  0.81 x_{32} & -0.08 x_{25} & +  0.21 x_{21} & + 13.16 x_{8} & +  0.17 x_{16} & -0.49 x_{28} & +  0.33 x_{29} & +  0.55 x_{18} & +  5.79 x_{13} & -17.77 x_{11} & +  2.00 x_{15}\\
 x_{5}   &  4.11819476173 & +  0.18 x_{1} & +  0.33 x_{14} & +  0.03 x_{31} & -1.73 x_{2} & -0.03 x_{32} & +  0.01 x_{25} & +  0.06 x_{21} & -0.53 x_{8} & -0.10 x_{16} & +  0.03 x_{28} & -0.05 x_{29} & -0.05 x_{18} & +  0.49 x_{13} & +  0.17 x_{11} & -0.94 x_{15}\\
 x_{19}   &  5.3035665929 & +  7.89 x_{1} & -9.28 x_{14} & +  0.11 x_{31} & -19.35 x_{2} & +  0.43 x_{32} & +  0.21 x_{25} & +  0.16 x_{21} & -1.08 x_{8} & -0.60 x_{16} & -0.09 x_{28} & -0.36 x_{29} & +  0.07 x_{18} & +  1.27 x_{13} & -5.04 x_{11} & +  2.77 x_{15}\\
 x_{23}   &  32.8191420526 & -0.83 x_{1} & -0.24 x_{14} & -0.68 x_{31} & -14.45 x_{2} & +  0.04 x_{32} & -0.30 x_{25} & +  0.24 x_{21} & -8.56 x_{8} & -0.48 x_{16} & +  0.27 x_{28} & -0.14 x_{29} & -0.19 x_{18} & -4.17 x_{13} & +  8.94 x_{11} & -13.38 x_{15}\\
 x_{24}   &  23.2875254513 & -5.65 x_{1} & -8.26 x_{14} & -0.80 x_{31} & -2.04 x_{2} & +  0.47 x_{32} & +  0.01 x_{25} & -0.46 x_{21} & -3.74 x_{8} & +  0.74 x_{16} & -0.62 x_{28} & +  0.38 x_{29} & -0.04 x_{18} & -5.25 x_{13} & +  2.56 x_{11} & -3.43 x_{15}\\
 x_{6}   &  2.90012182907 & -0.01 x_{1} & +  0.54 x_{14} & +  0.05 x_{31} & -1.10 x_{2} & -0.09 x_{32} & +  0.02 x_{25} & +  0.01 x_{21} & -0.24 x_{8} & -0.03 x_{16} & +  0.04 x_{28} & -0.08 x_{29} & -0.05 x_{18} & +  0.47 x_{13} & +  0.29 x_{11} & -1.04 x_{15}\\
 x_{26}   &  44.3434587665 & -0.39 x_{1} & + 10.98 x_{14} & +  1.05 x_{31} & -16.31 x_{2} & -0.82 x_{32} & +  0.27 x_{25} & +  0.51 x_{21} & -12.10 x_{8} & -1.12 x_{16} & +  1.04 x_{28} & -0.78 x_{29} & -0.55 x_{18} & + 11.29 x_{13} & +  0.40 x_{11} & -14.13 x_{15}\\
 x_{4}   &  2.53658428821 & +  0.53 x_{1} & +  0.87 x_{14} & -0.01 x_{31} & -0.69 x_{2} & -0.05 x_{32} & -0.02 x_{25} & +  0.02 x_{21} & -0.36 x_{8} & -0.04 x_{16} & +  0.07 x_{28} & -0.05 x_{29} & -0.00 x_{18} & -0.26 x_{13} & +  0.43 x_{11} & -0.57 x_{15}\\
 x_{22}   &  97.7471715019 & -3.01 x_{1} & + 14.42 x_{14} & +  0.37 x_{31} & -58.75 x_{2} & -2.68 x_{32} & +  0.34 x_{25} & +  0.73 x_{21} & -25.41 x_{8} & -2.41 x_{16} & +  1.98 x_{28} & -2.30 x_{29} & -2.52 x_{18} & +  5.29 x_{13} & + 21.64 x_{11} & -34.26 x_{15}\\
 x_{27}   &  3.13362749319 & -0.54 x_{1} & +  2.11 x_{14} & -0.35 x_{31} & -19.15 x_{2} & -1.01 x_{32} & -0.13 x_{25} & +  1.25 x_{21} & -20.92 x_{8} & -1.17 x_{16} & +  0.22 x_{28} & -0.27 x_{29} & -0.05 x_{18} & +  5.83 x_{13} & + 16.18 x_{11} & -7.01 x_{15}\\
 x_{30}   &  30.9709295996 & +  0.47 x_{1} & -8.85 x_{14} & -0.63 x_{31} & + 11.12 x_{2} & +  0.82 x_{32} & -0.18 x_{25} & -0.66 x_{21} & -7.44 x_{8} & +  0.68 x_{16} & -1.08 x_{28} & +  1.19 x_{29} & +  0.43 x_{18} & -13.78 x_{13} & -13.96 x_{11} & +  5.81 x_{15}\\
 x_{3}   &  0.0087970863589 & -0.16 x_{1} & +  0.55 x_{14} & +  0.03 x_{31} & +  0.50 x_{2} & +  0.01 x_{32} & -0.02 x_{25} & +  0.01 x_{21} & +  0.41 x_{8} & +  0.03 x_{16} & +  0.03 x_{28} & +  0.02 x_{29} & +  0.00 x_{18} & -0.22 x_{13} & +  0.10 x_{11} & +  0.16 x_{15}\\
 x_{12}   &  2.61308356536 & +  0.03 x_{1} & -0.49 x_{14} & -0.00 x_{31} & -0.35 x_{2} & +  0.01 x_{32} & -0.04 x_{25} & -0.04 x_{21} & -0.01 x_{8} & -0.01 x_{16} & +  0.01 x_{28} & -0.03 x_{29} & -0.04 x_{18} & -0.77 x_{13} & -0.05 x_{11} & -0.44 x_{15}\\
\hline
z    &  20.7317252834 & -1.89 x_{1} & -1.68 x_{14} & -0.19 x_{31} & -4.28 x_{2} & -0.53 x_{32} & -0.10 x_{25} & -0.25 x_{21} & -12.36 x_{8} & -0.44 x_{16} & +  0.12 x_{28} & -0.11 x_{29} & -0.37 x_{18} & -9.09 x_{13} & -1.61 x_{11} & -2.74 x_{15}\\
\end{array}\]


 $ x_{28} $ enters and $ x_{30} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  2.49882167102 & -0.18 x_{1} & -0.03 x_{14} & -0.03 x_{31} & -1.20 x_{2} & -0.02 x_{32} & +  0.04 x_{25} & +  0.01 x_{21} & -0.05 x_{8} & +  0.01 x_{16} & -0.02 x_{30} & -0.04 x_{29} & -0.05 x_{18} & +  0.37 x_{13} & +  0.74 x_{11} & -0.87 x_{15}\\
 x_{17}   &  5.19483645223 & -3.57 x_{1} & -9.67 x_{14} & +  0.31 x_{31} & + 14.64 x_{2} & +  0.05 x_{32} & -0.32 x_{25} & -0.52 x_{21} & +  4.44 x_{8} & +  0.53 x_{16} & +  0.62 x_{30} & +  0.01 x_{29} & +  0.10 x_{18} & +  3.24 x_{13} & -0.33 x_{11} & +  2.73 x_{15}\\
 x_{10}   &  4.7560955754 & +  0.50 x_{1} & -0.27 x_{14} & -0.04 x_{31} & -0.66 x_{2} & -0.00 x_{32} & +  0.03 x_{25} & -0.06 x_{21} & -1.17 x_{8} & +  0.01 x_{16} & -0.08 x_{30} & +  0.03 x_{29} & -0.04 x_{18} & -1.20 x_{13} & -0.26 x_{11} & -0.19 x_{15}\\
 x_{9}   &  6.67835368872 & -0.63 x_{1} & +  0.11 x_{14} & -0.03 x_{31} & -1.13 x_{2} & -0.10 x_{32} & +  0.00 x_{25} & +  0.02 x_{21} & -1.66 x_{8} & -0.05 x_{16} & -0.04 x_{30} & -0.00 x_{29} & -0.07 x_{18} & -0.09 x_{13} & +  0.52 x_{11} & -1.08 x_{15}\\
 x_{20}   &  3.87121315075 & -5.65 x_{1} & -6.82 x_{14} & +  0.41 x_{31} & -0.69 x_{2} & +  0.44 x_{32} & -0.00 x_{25} & +  0.51 x_{21} & + 16.50 x_{8} & -0.13 x_{16} & +  0.45 x_{30} & -0.21 x_{29} & +  0.36 x_{18} & + 11.98 x_{13} & -11.50 x_{11} & -0.61 x_{15}\\
 x_{5}   &  5.06893416163 & +  0.19 x_{1} & +  0.05 x_{14} & +  0.01 x_{31} & -1.39 x_{2} & -0.00 x_{32} & +  0.01 x_{25} & +  0.04 x_{21} & -0.76 x_{8} & -0.08 x_{16} & -0.03 x_{30} & -0.01 x_{29} & -0.04 x_{18} & +  0.07 x_{13} & -0.26 x_{11} & -0.77 x_{15}\\
 x_{19}   &  2.71323521685 & +  7.85 x_{1} & -8.54 x_{14} & +  0.16 x_{31} & -20.28 x_{2} & +  0.36 x_{32} & +  0.23 x_{25} & +  0.22 x_{21} & -0.46 x_{8} & -0.66 x_{16} & +  0.08 x_{30} & -0.46 x_{29} & +  0.04 x_{18} & +  2.42 x_{13} & -3.88 x_{11} & +  2.29 x_{15}\\
 x_{23}   &  40.4807072395 & -0.71 x_{1} & -2.43 x_{14} & -0.83 x_{31} & -11.70 x_{2} & +  0.24 x_{32} & -0.35 x_{25} & +  0.07 x_{21} & -10.40 x_{8} & -0.31 x_{16} & -0.25 x_{30} & +  0.15 x_{29} & -0.08 x_{18} & -7.58 x_{13} & +  5.48 x_{11} & -11.94 x_{15}\\
 x_{24}   &  5.43550504635 & -5.92 x_{1} & -3.17 x_{14} & -0.44 x_{31} & -8.45 x_{2} & -0.00 x_{32} & +  0.11 x_{25} & -0.07 x_{21} & +  0.55 x_{8} & +  0.34 x_{16} & +  0.58 x_{30} & -0.31 x_{29} & -0.28 x_{18} & +  2.69 x_{13} & + 10.60 x_{11} & -6.77 x_{15}\\
 x_{6}   &  4.16398119943 & +  0.01 x_{1} & +  0.18 x_{14} & +  0.03 x_{31} & -0.64 x_{2} & -0.06 x_{32} & +  0.01 x_{25} & -0.02 x_{21} & -0.54 x_{8} & -0.00 x_{16} & -0.04 x_{30} & -0.03 x_{29} & -0.04 x_{18} & -0.09 x_{13} & -0.28 x_{11} & -0.80 x_{15}\\
 x_{26}   &  74.1896057692 & +  0.07 x_{1} & +  2.45 x_{14} & +  0.44 x_{31} & -5.59 x_{2} & -0.02 x_{32} & +  0.10 x_{25} & -0.13 x_{21} & -19.27 x_{8} & -0.46 x_{16} & -0.96 x_{30} & +  0.37 x_{29} & -0.14 x_{18} & -1.99 x_{13} & -13.05 x_{11} & -8.53 x_{15}\\
 x_{4}   &  4.63884969225 & +  0.56 x_{1} & +  0.27 x_{14} & -0.05 x_{31} & +  0.06 x_{2} & +  0.01 x_{32} & -0.04 x_{25} & -0.02 x_{21} & -0.86 x_{8} & +  0.00 x_{16} & -0.07 x_{30} & +  0.03 x_{29} & +  0.03 x_{18} & -1.19 x_{13} & -0.51 x_{11} & -0.18 x_{15}\\
 x_{22}   &  154.46296971 & -2.15 x_{1} & -1.78 x_{14} & -0.78 x_{31} & -38.38 x_{2} & -1.17 x_{32} & +  0.01 x_{25} & -0.48 x_{21} & -39.04 x_{8} & -1.16 x_{16} & -1.83 x_{30} & -0.11 x_{29} & -1.74 x_{18} & -19.95 x_{13} & -3.92 x_{11} & -23.63 x_{15}\\
 x_{27}   &  9.50961701348 & -0.44 x_{1} & +  0.29 x_{14} & -0.48 x_{31} & -16.86 x_{2} & -0.84 x_{32} & -0.17 x_{25} & +  1.11 x_{21} & -22.45 x_{8} & -1.03 x_{16} & -0.21 x_{30} & -0.03 x_{29} & +  0.04 x_{18} & +  2.99 x_{13} & + 13.31 x_{11} & -5.82 x_{15}\\
 x_{28}   &  28.6757971361 & +  0.44 x_{1} & -8.19 x_{14} & -0.58 x_{31} & + 10.30 x_{2} & +  0.76 x_{32} & -0.17 x_{25} & -0.61 x_{21} & -6.89 x_{8} & +  0.63 x_{16} & -0.93 x_{30} & +  1.10 x_{29} & +  0.40 x_{18} & -12.76 x_{13} & -12.92 x_{11} & +  5.38 x_{15}\\
 x_{3}   &  0.745190913555 & -0.14 x_{1} & +  0.33 x_{14} & +  0.02 x_{31} & +  0.76 x_{2} & +  0.03 x_{32} & -0.02 x_{25} & -0.01 x_{21} & +  0.23 x_{8} & +  0.04 x_{16} & -0.02 x_{30} & +  0.04 x_{29} & +  0.01 x_{18} & -0.55 x_{13} & -0.23 x_{11} & +  0.30 x_{15}\\
 x_{12}   &  2.9000165039 & +  0.04 x_{1} & -0.57 x_{14} & -0.01 x_{31} & -0.25 x_{2} & +  0.02 x_{32} & -0.04 x_{25} & -0.04 x_{21} & -0.08 x_{8} & -0.00 x_{16} & -0.01 x_{30} & -0.02 x_{29} & -0.04 x_{18} & -0.90 x_{13} & -0.18 x_{11} & -0.38 x_{15}\\
\hline
z    &  24.0993590476 & -1.84 x_{1} & -2.64 x_{14} & -0.25 x_{31} & -3.07 x_{2} & -0.44 x_{32} & -0.12 x_{25} & -0.32 x_{21} & -13.17 x_{8} & -0.36 x_{16} & -0.11 x_{30} & +  0.02 x_{29} & -0.32 x_{18} & -10.59 x_{13} & -3.12 x_{11} & -2.11 x_{15}\\
\end{array}\]


 $ x_{29} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{7}   &  2.2649582181 & -0.85 x_{1} & +  0.71 x_{14} & -0.04 x_{31} & +  0.54 x_{2} & -0.06 x_{32} & +  0.02 x_{25} & -0.01 x_{21} & -0.01 x_{8} & +  0.06 x_{16} & -0.02 x_{30} & +  0.09 x_{19} & -0.06 x_{18} & +  0.16 x_{13} & +  1.08 x_{11} & -1.07 x_{15}\\
 x_{17}   &  5.2487532482 & -3.41 x_{1} & -9.84 x_{14} & +  0.31 x_{31} & + 14.24 x_{2} & +  0.06 x_{32} & -0.32 x_{25} & -0.52 x_{21} & +  4.43 x_{8} & +  0.52 x_{16} & +  0.62 x_{30} & -0.02 x_{19} & +  0.10 x_{18} & +  3.28 x_{13} & -0.41 x_{11} & +  2.77 x_{15}\\
 x_{10}   &  4.93673532889 & +  1.02 x_{1} & -0.84 x_{14} & -0.03 x_{31} & -2.01 x_{2} & +  0.02 x_{32} & +  0.05 x_{25} & -0.05 x_{21} & -1.20 x_{8} & -0.04 x_{16} & -0.07 x_{30} & -0.07 x_{19} & -0.03 x_{18} & -1.04 x_{13} & -0.51 x_{11} & -0.04 x_{15}\\
 x_{9}   &  6.65183705084 & -0.70 x_{1} & +  0.20 x_{14} & -0.04 x_{31} & -0.93 x_{2} & -0.10 x_{32} & +  0.00 x_{25} & +  0.01 x_{21} & -1.66 x_{8} & -0.05 x_{16} & -0.04 x_{30} & +  0.01 x_{19} & -0.07 x_{18} & -0.12 x_{13} & +  0.56 x_{11} & -1.10 x_{15}\\
 x_{20}   &  2.6282357919 & -9.24 x_{1} & -2.91 x_{14} & +  0.34 x_{31} & +  8.60 x_{2} & +  0.28 x_{32} & -0.11 x_{25} & +  0.41 x_{21} & + 16.71 x_{8} & +  0.17 x_{16} & +  0.41 x_{30} & +  0.46 x_{19} & +  0.35 x_{18} & + 10.87 x_{13} & -9.72 x_{11} & -1.66 x_{15}\\
 x_{5}   &  4.9823997337 & -0.06 x_{1} & +  0.33 x_{14} & +  0.00 x_{31} & -0.74 x_{2} & -0.02 x_{32} & +  0.00 x_{25} & +  0.03 x_{21} & -0.74 x_{8} & -0.05 x_{16} & -0.03 x_{30} & +  0.03 x_{19} & -0.04 x_{18} & -0.01 x_{13} & -0.13 x_{11} & -0.84 x_{15}\\
 x_{29}   &  5.92971406499 & + 17.15 x_{1} & -18.66 x_{14} & +  0.35 x_{31} & -44.31 x_{2} & +  0.79 x_{32} & +  0.50 x_{25} & +  0.48 x_{21} & -1.00 x_{8} & -1.44 x_{16} & +  0.18 x_{30} & -2.19 x_{19} & +  0.08 x_{18} & +  5.29 x_{13} & -8.47 x_{11} & +  5.00 x_{15}\\
 x_{23}   &  41.3957048136 & +  1.94 x_{1} & -5.31 x_{14} & -0.78 x_{31} & -18.54 x_{2} & +  0.36 x_{32} & -0.27 x_{25} & +  0.15 x_{21} & -10.56 x_{8} & -0.53 x_{16} & -0.22 x_{30} & -0.34 x_{19} & -0.07 x_{18} & -6.76 x_{13} & +  4.18 x_{11} & -11.17 x_{15}\\
 x_{24}   &  3.61188648965 & -11.19 x_{1} & +  2.57 x_{14} & -0.54 x_{31} & +  5.18 x_{2} & -0.25 x_{32} & -0.04 x_{25} & -0.22 x_{21} & +  0.86 x_{8} & +  0.78 x_{16} & +  0.52 x_{30} & +  0.67 x_{19} & -0.31 x_{18} & +  1.06 x_{13} & + 13.21 x_{11} & -8.31 x_{15}\\
 x_{6}   &  3.96061053756 & -0.57 x_{1} & +  0.82 x_{14} & +  0.01 x_{31} & +  0.88 x_{2} & -0.08 x_{32} & -0.01 x_{25} & -0.03 x_{21} & -0.51 x_{8} & +  0.05 x_{16} & -0.05 x_{30} & +  0.07 x_{19} & -0.04 x_{18} & -0.27 x_{13} & +  0.01 x_{11} & -0.97 x_{15}\\
 x_{26}   &  76.3842024728 & +  6.41 x_{1} & -4.45 x_{14} & +  0.57 x_{31} & -21.99 x_{2} & +  0.27 x_{32} & +  0.28 x_{25} & +  0.05 x_{21} & -19.64 x_{8} & -0.99 x_{16} & -0.90 x_{30} & -0.81 x_{19} & -0.11 x_{18} & -0.03 x_{13} & -16.19 x_{11} & -6.68 x_{15}\\
 x_{4}   &  4.80296880541 & +  1.04 x_{1} & -0.25 x_{14} & -0.04 x_{31} & -1.16 x_{2} & +  0.03 x_{32} & -0.02 x_{25} & -0.01 x_{21} & -0.89 x_{8} & -0.03 x_{16} & -0.06 x_{30} & -0.06 x_{19} & +  0.03 x_{18} & -1.05 x_{13} & -0.75 x_{11} & -0.04 x_{15}\\
 x_{22}   &  153.793633519 & -4.08 x_{1} & +  0.33 x_{14} & -0.82 x_{31} & -33.38 x_{2} & -1.26 x_{32} & -0.05 x_{25} & -0.53 x_{21} & -38.93 x_{8} & -1.00 x_{16} & -1.85 x_{30} & +  0.25 x_{19} & -1.75 x_{18} & -20.55 x_{13} & -2.97 x_{11} & -24.19 x_{15}\\
 x_{27}   &  9.34321214127 & -0.92 x_{1} & +  0.81 x_{14} & -0.49 x_{31} & -15.62 x_{2} & -0.86 x_{32} & -0.19 x_{25} & +  1.10 x_{21} & -22.42 x_{8} & -0.99 x_{16} & -0.21 x_{30} & +  0.06 x_{19} & +  0.03 x_{18} & +  2.84 x_{13} & + 13.55 x_{11} & -5.96 x_{15}\\
 x_{28}   &  35.2243518523 & + 19.38 x_{1} & -28.79 x_{14} & -0.19 x_{31} & -38.64 x_{2} & +  1.64 x_{32} & +  0.38 x_{25} & -0.08 x_{21} & -8.00 x_{8} & -0.96 x_{16} & -0.72 x_{30} & -2.41 x_{19} & +  0.48 x_{18} & -6.92 x_{13} & -22.28 x_{11} & + 10.90 x_{15}\\
 x_{3}   &  1.00528969879 & +  0.61 x_{1} & -0.48 x_{14} & +  0.03 x_{31} & -1.18 x_{2} & +  0.07 x_{32} & -0.00 x_{25} & +  0.01 x_{21} & +  0.19 x_{8} & -0.02 x_{16} & -0.02 x_{30} & -0.10 x_{19} & +  0.02 x_{18} & -0.32 x_{13} & -0.61 x_{11} & +  0.52 x_{15}\\
 x_{12}   &  2.802929598 & -0.24 x_{1} & -0.27 x_{14} & -0.01 x_{31} & +  0.48 x_{2} & +  0.00 x_{32} & -0.05 x_{25} & -0.05 x_{21} & -0.07 x_{8} & +  0.02 x_{16} & -0.01 x_{30} & +  0.04 x_{19} & -0.04 x_{18} & -0.98 x_{13} & -0.04 x_{11} & -0.47 x_{15}\\
\hline
z    &  24.2014912381 & -1.54 x_{1} & -2.96 x_{14} & -0.25 x_{31} & -3.83 x_{2} & -0.42 x_{32} & -0.11 x_{25} & -0.31 x_{21} & -13.18 x_{8} & -0.39 x_{16} & -0.11 x_{30} & -0.04 x_{19} & -0.32 x_{18} & -10.50 x_{13} & -3.27 x_{11} & -2.02 x_{15}\\
\end{array}\]
Final Dictionary
Solution:  24.2014912381
Num Pivots:  17
\end{document}
